After thinking about it a bit... I really like the idea.
Either in Re-Rise form... or in a job trait. (and if the job trait was something that happened at 99 or any level >49... then the ramification of having a reraise I with the shorter weakened wouldn't be any sort of balance upset in terms of giving /whms the same benefit. In other words: it keeps whm unique from /whm by having a real whm's RR be "more potent".)

But dear god... if it's a trait... keep it from affecting raise.
(which should be the simplest to implement a code like "if RRtrait, when raised by RR, then: timer lower" and that should only affect RR given to the whm... though such an implement would also affect a whm under book-RRs... I don't really think that matters.)