You have to realize, that with infinite time, if something has even the slightest chance of happening, it happens infinite times. So no, its not misleading, you have infinity for this to happen an infinite amount of times. Infinity breaks things.

The time taken for “a” typing monkey? We have infinite monkeys! Why are we putting the entire burden on just one of them? One of them takes Hamlet, another takes King Lear, two of them collaborate to write Twelfth Night…

Given an infinite number of peers, any research paper can get peer reviewed