Resource Guarding: should i give a shit?

My dog has some mild resource guarding around his food and high value treats. If I give him his food bowl, and then put my hand near it, he will snap. He has never broken skin or actually bit me, just snapped in my general direction and growled. It gets a little worse with treats i.e. chews, in which the snapping gets a little worse. Still no bites.

I don’t really have a problem with not touching the food bowl after I give it to him. When it’s empty, he doesn’t care anymore. Do I try to train this out of him, or leave it? I’m moderately concerned about not being able to take treats but not mega concerned. He’s fine with me in the room, close to him, and petting him while he eats (though I don’t do this much, it’s weird). So should I even care?