My policy is that if my dog has a dump in the road/pavement/park then I clear it up. In a bag, in a bin. If I have to carry it for a bit, well, that’s the way it goes.
In the woods, however, it’s different. I make sure they don’t foul the paths or anywhere close to them, but otherwise I don’t see the problem. I don’t bag it up, though I do cover it with soil.
Perhaps when you next see a doggy package, you take it to the nearest unoccupied car, (as they can then redilver/recycle it to the nearest bin), and either hang it on the aerial, or place on the heater intake vent on the bonnet, sometimes the quality of the bag is such it accidently bursts while youre doing this, due to lack of gloves, its best not to use bare hands to try and get it assembled back in the bag, the car owner wouldnt want you making a mess smearing it on their car, and may mis understand your good wishes as just making a mess.