I had this happen in a different state. Bad shot led to tracking a deer across a road (also the boundary) and a game warden coincidentally drove by while I was following the trail on the wrong side of the road (open to public), thinking I was hunting where I shouldn't be.
I had already put my rifle back in the car and I was marking blood on my GPS. I showed him the GPS track, and he seemed to decide my story was credible and didn't have any problem with me. If didn't have a GPS track and I hadn't put the gun away, I'm not sure he would have believed me.
This anecdote is only worth what you're paying me for it. If you're concerned about a certain scenario, it might be worth a call to a game warden beforehand to make sure it's all good. There's quite a bit of grey area and discretion involved in these enforcement scenarios, but if you're relying on info the game warden gave you beforehand, my guess is that you'll be pretty safe.