Those who break past "the wall" and achieve any fluency at programming, can and will learn to start thinking in layered abstractions. And their programs will start to get bigger. Then it's time to move away from BASIC.
I moved to Pascal. Today, Python. But I agree with the above and about Python, that you are forced to handle abstractions, almost from the git-go. Perhaps what saves it is the ease of trying things, so if the functioning of a loop like "for i in range(10)" is confusing, just try it with a print() statement in there.
BASIC was also preferable on a timeshare machine. Waiting 10 seconds per line for a response seemed more tolerable than waiting 10 minutes for an entire program to compile and link.
LOGO has real depth, an elegant syntax, and there's an alternate universe where it has Python's niche as everyone's favorite scripting language. But it's effectively a toy language so there's nowhere to go from "learning".
Here's my hot take: before you teach anyone "the basics of programming", teach them how to enter formulas in a spreadsheet.