A full sleeve will be seen when dressed....no way around it.....Same is true for face tats and neck tats....
Those exposed face and neck tattoos have always been banned, not all tattoos. I served with a 1stSgt who had shoulder and large chest tattoos as well as a memorial to his service on Guadalcanal and Peleliu with the 1st MarDiv on his forearm. Nobody had even a second thought about those exposed tats including any general or our battalion commander who had been a private in a different battalion during the same campaigns and had several of his own.
If you don’t like tattoos of any kind that’s your business and nobody cares about your opinion even though guys like them fought to protect your right to your opinion.