news invented this because they feel bad about collecting money

I know that would be the human interpretation, but actually think about what you're saying? The news has no trouble lying through their teeth and outright fabricating stories for a quick buck. There is zero chance they feel guilt.

More likely reasons are:

1. They'll be limited in what they can show due to broadcast restrictions, so if seeing such content is socially acceptable, they'll lose more viewers to the Internet.
2. More often than not, shooters paint the media's own positions in a bad light.
3. They don't want to glamorize it because they realize how likely they are to be targets.
4. They're afraid of liability for future events or lawsuits from victim's families.

Whatever the reason is, I can assure you it's not because they "feel bad."

They MURDERED people. Who gives a fuck they paint their guns? Is that the problem?

It's demonstrable copycat behaviour, from people who ought to hate each other. Which proves these psychos inspire other psychos.