I have Mini Rexes.
To say one doesn't see them moulting is totally wrong! Their fur/hair comes out in clumps - it is very therapeutic to pluck them regularly, particularly in the summer. My daughter managed to get several handfuls of fur out of them during the summer months. They are still moulting now and tufts of fur ready to drop out actually appear to stand proud from the rest so it's easy to just pluck it out. It doesn't hurt - they don't even acknowledge we're doing it.
That said though, mine are the Satin variety and their fur is super, super soft. Like satin, oddly enough ...
Whether that makes a difference if yours aren't Satins, I'm not sure.