Don should’ve just been like we switched out dog tags for fun

What do you think would happen if when Don got in trouble for the identity theft and desertion he explains it like this:

We were trying on each others dog tags as a joke when the bomb went off. The first few days in hospital I was so disoriented forgot we did that and I assumed people were just mixing up the patients when they called me Don.

I realized a few days later but by then I realized I could go home early so I kept living the lie

Would that get him in less trouble than saying I swapped the tags on purpose ti try to leave?