I will say, I have seen a wide variation among gca's in how willing they are to accept a bad hole. A few have said something to the effect of, "I allow 2-3 days for routing, and they get what I come up with at the end of that period. It's not worth spending any more time on it." I can guarantee you, I have never said that.
I can say I rarely have thought in terms of routing a connector hole. The few of my own I can recall include the 3rd at Woodland Hills in Nebraska. After the project stalled awhile, when we came back on line it was clear to me that if he bought a strip of land on the east side of the course, we could put a cul de sac of homes in, and simultaneously give the course some room it needed. To get a few nice holes along a creek, the 3rd had to play up and over a hill to get there. I rationalized that every course needs a hole to produce the cuts necessary to build features. Especially that one, where we hardly move 100,000 CY of dirt, so we built the hole, and cut the hill to produce a valley and visibility.
Otherwise, I am sure it has happened somewhere else in my career, but I tend to think of the holes as a group, and fiddle with them until I get the best ones I can. I can't recall having to have one hole so badly that I did a bad one somewhere else to get to it, but maybe I have. Who knows what goes on in the mind of golf architects?
Also, another part of it is my style was to find 18 good holes. If it meant a walk or cart ride, I generally am/was amenable to that over a bad hole to get the good holes I wanted. So, my connectors tend to be of the cart path variety, not a hole.