Do you think Jensen at the cockles panel is what alpha!Jen in rut(?) would be like?
Are you mostly refering to his need to show Misha his junk? ;3 (I haven’t actually seen all of the Cockles panels because I get embarrassed easily.)
I would actually love the idea that Jensen in rut behaves in ways that aren’t really usual for alphas. The focus on his junk and the need to tell people that it’s amazing, yes sure, that is normal. He has to show the omega he has his eyes on what he’s got after all (”Jensen, put that back where it belongs. We’re already mated” would mostly fall on deaf ears. Because Jensen has to show the world that he’s a good alpha. “Okay, alright, we get it. Cross your legs, Jensen.”)
But after some activities to take the edge off (”mistakes were made”, like having rut sex to take the edge off instead of just having Jensen take some pills and a cold shower and then some normal sex.), Jensen in rut is goofy, affectionate, emotional… etc.