Yeah, that's what the uniform distribution is - all outcomes are equally likely. Just clarifying the terminology and pointing out fact that rare events, like 25 Magic Infusions, do indeed happen under processes that are 'truly random' - it's deterministic processes that don't do that.
Also to put it out there, since these discussions do tend to go down the path of blatant misuse of statistics by enthusiasts who have just googled up their maths degrees... if you don't know the difference between an attack roll and a saving throw, it's possible that you're not the best judge of the implementation of the DnD rules. Similarly, if you don't know the difference between random and uniformly distributed, you might not be the best judge of the implementation of dice rolls.