My guess is it’s also a matter of practical usage: they’re made of heavy iron and a round one will fall in place whatever orientation it’s thrown over the cover, while a different shape needs to be carefully oriented. I suspect this also means less broken fingers.
But round one is easier to steal.. just roll them off. Whereas a square or any such shape, would be very inconvenient to move.
[Edit in response to a question]
Some people have attempted to steal manhole covers in order to sell them for scrap metal. China Daily notes that there has also been a problem with taxi drivers removing manhole covers to "steal water and clean their vehicles".
https://www.bbc.com/news/blogs-news-from-elsewhere-52400235
It's a very common thing to steal. Lots of iron. That's why they use concrete-filled ones. That's why they are stamped so a scrapyard can be checked (or alert authorities).
In my area there are lots of square manhole covers. I have it on my personal to-do list to photograph almost all the older manhole covers from my city and geo-locate them at some point, I think it could be a good indicator of how my city grew and evolved ~100 years ago.
Richard Feynman oversaw the IBM computer's use and programming used in the Manhattan Project. Microsoft also has an R&D department that would probably just give him a budget and a team of assistants to see what he came up with.
I don’t know but I shudder at the thought of what state the world would have to be in for Feynman to be interviewing at Microsoft or any FAANG company for that matter.