I think the GOP would what to avoid that. Basically every time a senator tries to reclaimed their seat it never ends well (Feingold 2016), since it makes the politician look too power hungry
https://en.wikipedia.org/wiki/1988_United_States_Senate_election_in_Washington. Though to be fair, that is pretty much the only semi-recent example I know of a defeated Senator making a successful comeback.
You also have the weird situation where, while no one actually lost, Dan Coats declines to run for re-election after Evan Bath decides to enter the race, and twelve years later, Evan Bath decides to retire after Dan Coats enters the race.