Operators in common usage, like ">>=", are not at all a problem, because as you suggest, they only need to be learned once and aren't easily forgotten. Operators that are never used are also not a problem, because they are never used.
But I do see a problem in the middle, where I see an operator, figure out what it does, and then don't see it again for some time. Re-learning less frequently used operators constantly is not very efficient.
Your fake names are a false choice. The trick is to find good descriptive names, and using a name that is annoyingly long is probably worse than using one that is frustratingly terse. The trick is to pick a good one.
