Maybe a bit late to the party, but... be worried, or not worried, depending on what you expect.
If you expect to do a REALLY long trip, forget about it. Rent something else, or fly, or take a train, or whatever. You've got a bunch of things going against you.
First, the range is crap compared to something like a Tesla... but there's a few reasons for that. One major reason is that the RZ's BMS (battery management system) doesn't let you use as much of the REAL battery capacity as Tesla - but the reason is that it prolongs the battery life, so while a Tesla will degrade a LOT, the RZ's battery will degrade much slower. Another reason is that the motors simply aren't as efficient. Nor is the cooling/heating system.
Which means that you won't be able to go as far without charging.
Second is the charging speed. Also to protect the battery, the RZ charging speed slows WAY down over around 60%, and then down to essentially Level 2 speeds above 80%. So you could get 20% to 60% pretty quick (I'm talking about a DC Fast Charger), but from 60% to 80% is going to take a lot longer, and then if you want to get ABOVE that, expect to wait. Yes, all vehicles slow down above 80%, but not necessarily as much below that. And I've just found that even at a 150 KW charger, I don't get anything NEAR that (it may peak for a little while over 100 KW, but generally will wind up around 60 KW or worse). I've seen Ioniqs and ID4s charge at a MUCH higher rate than I can get at the exact same station on the same day and time (well, me right after them).
And... while I've never tested it, supposedly you can charge only THREE DCFC cycles in a 24 hour period!!! Now, I couldn't get a straight answer from anyone at Lexus (they even opened a ticket for me), so I'm not sure whether that's full 0% to 100% cycles so that two 20% to 70% cycles would count as a single cycle, or whether a partial charge counts as one or what. But supposedly, once you hit the limit, the BMS will limit you to Level 2 speeds. Which TRULY limits your distance that you can drive.
And, of course, there's the whole time thing. Drive, say, 110 miles (if your 100% to 0% range with radio and climate and such is 180 miles, your 80% to 20% range is probably more like 110 miles) and you're talking maybe a couple of hours of driving, depending on speed. And then... you're going to be sitting there for roughly an hour to get back up to 80%. And another 110 miles, and then another hour to charge, and so on. It adds a lot of time to a trip.
Ideal would be to leave with 100%, giving you a longer range to your first charge, and then being able to plug into a Level 2 at a hotel you're staying at. Then you could be back up to 100%, no DCFC needed, and then you can kinda "reset" the clock and also have the full range for your next leg. But not a lot of hotels seem to have chargers, at least not here on the West Coast in the US.
I've often left my car days on end and never lose more than maybe a percent or so. No way to know the 12v battery level that I can tell, but it has never been an issue, either.
Mountains make your range crap. Same is true with an ICE vehicle. Physics. You just have to take that into account.
Speed matters, too. The faster you go, the more wind resistance and rolling resistance, and so the more electricity you're going to use. Stop and go also is bad because acceleration eats juice. Yes, you get SOME of it back from regen braking, but remember, you're STILL using the physical brakes in true stop and go, or when having to stop QUICKLY (if you can crank up the regen level to 4 and then almost never actually step on the brake pedal, you'll get the best regen - but know that it won't actually STOP the car completely).
Another concern is the AVAILABILITY of chargers along your route. Remember, many seem to not work, so a bank of maybe 4 chargers might have only 2 or 3 that are working, and remember also that you may not be the only person charging, so you may have to WAIT an hour or longer for a charger to become available.
But...
I'm not trying to scare off the OP. I'm just trying to set expectations. The RZ is NOT a car for taking really long trips, period. If you're going someplace that's maybe a couple hundred miles before stopping, or maybe going someplace towards the end of your range, stopping, and then driving home, you're going to be fine.
It DOES take more planning than an ICE, where there are gas stations everywhere and you can fill up in 10 minutes and have a full tank. You have to plan your trips more carefully and figure out in advance where you're going to charge, and have some apps that can help you find chargers.
Teslas have better range, and better efficiency, but they're made like crap. The RZ is made like, well, a Lexus. Much better materials, better fit and finish, far more likely not to need a bunch of potentially expensive maintenance that may leave you without a vehicle for weeks or months (as many Tesla owners have experienced).
If most of what you do is tooling around town, and you've got a charger at home and can just charge it to 100% overnight, you'll love the RZ. If you occasionally go a couple hundred miles, you'll be fine as long as you understand that you'll have to plan things out and take a break of an hour or so while it is charging. And know that if you're going on a really long trip, you're going to have to rent something else.
Oh, and while the RZ LOOKS more like an NX than an RX, it is actually a bit of physics magic because it is more like an RX inside. I used to have a string of RXs, and had an NX loaner for several weeks, and I just couldn't fit the same stuff in the NX - but it all DOES fit in the RZ.