What do you pointer guys do when your dog gets a bird up and is out of gun range? After hunting wild SD pheasants my whole life, I know this is a thing. They don't always sit and wait to be pointed and for someone to catch up and flush them. Asking out of curiosity, as I've always hunted over pointing labs that we have always kept within gun range.
I'm less of a purist when it comes to my pointer regarding me not always walking up and flushing them. Nothing wrong with purists either. That's just not how I do it. But to answer your question, the pointers try to stay far enough away from the birds to reduce wild flushes out of range of the hunter.
Part of late season birds is they will often flush before you get close enough to flush them yourself, as you have probably experienced with your pointing lab. My pointer stops on a point a greater distance away from the bird than my close working pointing lab did. So if she is out of shooting range, and she smells a bird, she will usually stop and wait for me to get to her before she continues tracking or stalking. She is then moving slowly enough for us to stay together, especially if she is stalking. If she senses the bird has started running (not walking), then all bets are off.
Having said that, you are always going to have situations where a pointer comes from the upwind direction or crosswind direction and can't smell the bird until they are closer to the bird than they would like to be. If the birds are jumpy, then that can cause a wild flush out of range.
How far a pointer ranges can vary based on the breeding lines, the individual dog, the training, the hunter, and the cover. There are pointers that hunt in front of people riding horses in some regions. You could also have some dogs in the ruffed grouse woods that range for miles. All of the pointers I've pheasant hunted with, who belong to other people, are in the 200 yards or less range. In open cover (not cattails or thickets), my dog generally stays under 100 yards. But there are times she goes over 100 yards if she is getting some scent. There are times where I see her go from, let's say 100 yards to 160 yards, on the gps receiver, in just a few seconds, and I know she is on a true runner. No way for me to even see the flush usually, in those cases. Those are fairly rare though. There are also times where she goes on point up to 100 or more yards away, and I go to her, and we either end up with a flush from that point, or she tracks/stalks closer to the bird for the flush. More often, when I see her tracking, I'll hustle up a bit, to minimize the distance between us, to reduce the risk.
When we are hunting the outside edges of cattails, where it isn't about her using her ranging to cover more area, she generally stays within 60 yards, and I generally try to stay closer to her as well. When she is hunting inside the edge of cattails, if I am outside, I have an easier time keeping up with her and she doesn't have to worry as much about waiting up for me. I keep in vocal contact with her so she knows where I am. If we are both in the cattails, and she is tracking a late season, no snow, bird, I have a harder time keeping up to her, and some of those on the opposing team do cheat and get up out of range. When hunting a close ranging springer, in the past, in the cattails, however, the opposing team would employ the same foul plays. Cheaters gonna cheat.
There are many variables involved, so it's difficult to speak in generalities.