"Depleting the entropy pool" is sort of a nonsense idea that /dev/random has. Nobody should ever be worried about it and nobody should ever use /dev/random. The manpage is wrong and has continued to be wrong because of historical reasons and the people involved not wanting to admit a wart.

Anything that relies on /dev/random isn't well written and is going to randomly block for bad reasons. We can pull as many bytes as we want off /dev/urandom and just forget that /dev/random or /proc/sys/kernel/random/entropy_avail even exists.