Please settle a debate.

If a male (person with a penis) goes to the bathroom to urinate, and he only holds his penis - in no contact with urine, does he need to wash his hands?

I think yes because you're using the toilet. Even if you don't touch a stream of urine, you've still touched your penis which can have smegma or body oils etc that aren't sterile and should be washed. It's a matter of hygiene to me.

Male in question was called out for not washing hands, he said he didn't need to because he peed standing up.

Who is correct? Should men (and frankly all people imo) wash their hands after urinating in the restroom?

Edit 1: Male in question has seen some preliminary comments and wants it to be known this is a private home bathroom.

I still think private and public bathroom trips require hand washing.