Well since Trump did not paint the picture your theory has a giant hole in it but lets play......
When did Obama Serve? NEVER, How about Clinton.....Never he used BS and connections to dodge the draft. First POTUS since WW2 without military service... Yet there they are beside Kennedy...
Just for fun, Wilson None, FDR None
Lets look at the Republican picture now... all served except Trump
So tell me how does that egg taste?