First of all, "Range Anxiety" is a registered trademark of General Motors. I hope Elon doesn't get in trouble for using it without GM's permission!
Most people who actually own electric cars experience very little range anxiety. Far more common is "range anxiety anxiety": the fear that if you got an electric car, you might experience range anxiety.
Also prevalent among car makers is "range anxiety anxiety anxiety": the fear that, if you made an electric car, range anxiety anxiety might prevent people from buying it.
Remember folks, we have nothing to fear but. . . fear itself!
Some people want to dismiss range anxiety as being some phantom issue. In the future it may be, but it is a real issue today.
Most people who own electric cars have it as a second vehicle. They take an ICE car (own, rented, etc.) when they plan on going on a long trip, driving in bad weather (i.e. snow storm), etc.. Range anxiety is a real thing if it is your only vehicle.
It's bad enough sitting on a highway in a snow storm with traffic backed up for miles because of an accident and seeing that you have a low gas gauge. At least you know that you can get off of pretty much any exit and get gas. With a Tesla, it becomes a bit of a crap shoot. Granted, this will improve as charging stations get fully rolled out. But it is a real concern today.
For me, the concern with electrics is range and towing. It will get worked out eventually, but the focus today is on passenger vehicles and commuting for work, errands, etc.