I'd say more that it evolves rather than goes away. We've had our BEV for over a decade and it's the car we tend to choose to drive for short distance errands. We like it by all means, but when one of us needs to take the hybrid car for a weekend or a local business trip, we still have to plan out to make sure the other can manage whatever we need to do with just the BEV.

As dboreham says in the sibling comment, the range anxiety morphs into charger-availability anxiety. Even if I know a charger physically exists at my destination, if it's 45% or more of the range away, I still need to worry that it will be working, that my access will work, that it won't be occupied or blocked, etc.

In nearly 40 years of driving, I almost never researched gasoline availability (through the Nevada desert and in Central America, I did).

In a little over a decade of BEV driving, I've done a lot of EVSE (charger) researching.

It isn't really "range" anxiety, rather "no charger available" anxiety.

Today, if I run out of petrol|gasoline somewhere, even if I'm in the middle of nowhere and don't have a gas can, I can still recover from that situation within an hour or so (hitch a ride to the next gas station, buy gas can, fill with gas, hitch back to my vehicle). With an EV the density of fueling/charging locations is orders of magnitude lower than for gas, and if I end up discharged I'm looking at finding a flat bed truck, or perhaps a mobile high power generator.

Disclosure: I own both kinds of vehicles.

Eh, I'd say it goes away after your first road trip, unless you're going somewhere remote.

I've had my BEV for about 5 1/2 years. My first road trip (Portland -> Santa Clara, ~560 miles each way), I planned it out ahead of time with ABRP. These days, I'll just let the nav figure it out.

First time I did an EV road trip, I just plugged it straight into the car screen and followed directions. I didn't have anyone with me, and was willing to accept some degree of "adventure". I did about 800 miles in a day, and had zero real issues.

I have been totally unconcerned about it since.