The US Navy and USAF have different approaches to electronic warfare. The USAF wants to hide using stealth technology. The Navy doesn’t care about hiding, They just fry the hell out of the enemy’s radar and missle guidance systems.
That’s why the USAF want Prowlers/Growlers to go in first.
I have a friend who’s a former Prowler pilot. His past comments confirm everything you said.
“The Navy doesn’t care about hiding”
You can’t hide when your flying Prwolers. They must be the loudest jet in the entire military.