Not being in favour of someone doesn't mean I wouldn't "accept' them if appointed.
There are candidates I do not want to get even near the job, but I'd still support the team, and by extension, them, if it comes to it.
Generally speaking, for me whoever gets the job, I'll give them a go (can hardly do otherwise), until a point came where results and/or performances made that support untenable.
Just that that point is reached easier and earlier if you perceive the wrong choice was made in the first place.