GH, that's the way my vets are. There are only 2 in my area (one is about 18 miles away, the other is about 25) but they work together for the good of the animal in question. One has strengths where the other has weakness and so forth. To have Dobe's melanomas removed, which I need to do again, I go to Dr. Prather. For geldings and more intensive surgeries, I go to Dr. Carroll. Moderate injuries that require more care than I can give at home, I can go to whichever has an opening sooner.
When I made an appt to get Taz gelded and have his hernia fixed, I had intended to stay and watch. I had seen the geldings before, but never a hernia surgery so I was curious. They asked that I bring him over at around 9 in the morning. I was driving over there when the vet himself called me on my cell phone to tell me that he'd had an emergency call so he would have to postpone Taz's surgery until he could get back later that day and I was "welcome to hang around the office if you want to stay, but I honestly don't know when I'll be back". I opted to just go ahead and leave Taz there. Vet called me about 6:30 that evening (which was long after dark in January) to tell me that both operations were done and Taz was doing great. He said that he would have to stay the night, of course, and he would call in the morning to let me know for sure if I could come pick him up or if he would need to stay longer to be safe. That next morning, which was a Saturday, vet called at about 8:30 and said Taz was up and moving and feeling fine so he was good to go home.
Another thing I love about both of these vets is that they know me, have since I was a kid, and they know what I'm capable of handling on my own. So, if I call and say I have an emergency, they know it isn't a little cut that I'm over-reacting about and they respond as fast as they possibly can. Heck, whenever I have a horse get stitches, they even tell me "You can take them out in 10-14 days and you'll be good to go. If you have any problems, just call us back." I've had other vets that would absolutely freak if I mentioned taking the stitches out myself and I understand why they do, but it's nice to not have to explain myself.