I hunt it sometimes. Singles will sit tighter than groups. But generally they all run. Best bet is to try to hunt them inside out. Try to force them out into cover they're more likely to hole up in. This time of season, with educated birds, that's really difficult without a few inches of fresh snow.
Last weekend we had 20-25 of them run from thick CRP grass INTO soggy cattails. Quite a ways out. Couldn't figure out why Ace kept going further & further out. I couldn't see him out there, but it was way more than ankle deep.
Judging by the sloshing sounds, I'm guessing almost knee deep to a man. I don't know what they had to run on out there, but they did it. Until Ace caught up to them. I've seen pheasants do some incredible things, but this was a bit surprising. By now, even this year's birds have Master of Evasion degrees. Last year's birds have Doctorates.