Done it a few times but only if I know it was recently hit. Last winter a truck in front of me hit a buck and I scooped it up. I also kept one I hit a few years ago. One small bruise on a rear ham was the only meat I had to throw out. I've also done it a couple of times for family members who have hit deer. Heck, I even did it with a rabbit I hit once.
Sure. I've only been lucky enough to happen along twice when I was sure it was fresh enough and intact enough to make good use of it, and when I had the time and gear with me to do so.
Followed the law to get the tag both times That was a bit more bother back when I didn't have a cell phone. Would have had a third except for someone else picking one up while I was driving to the nearest pay phone to call it in and get back to meet the deputy.
No bad experience either time. Meat was just fine with very little bruising on one and none on the other. Coyotes are fed well enough without us leaving them some more.
I've taken two, and almost picked up one a few weeks ago. The first was a button buck that must've got hit in the head. I didn't find any bruised meat. The second was one I hit. After I hit him he was crippled in the ditch. I put him out of his misery. During butchering I found his ball and socket joint was all tore up. #3 was a couple of weeks ago. She was a big doe, but I didn't need the meat so I left it for someone else. She was still warm and rigor mortise hadn't set in yet. I caked a buddy to see if wanted it, but he was out of town.
"Speak softly and carry a big stick" - Theodore Roosevelt