Money does not equate to doing chores around the house. Whilst you may think that your monetary contributions which amount to more than hers may exonerate you from housework activities, it doesn't.

But.

The fact that you work longer hours can be taken into consideration.

Sounds like you need a balance.

Too much game time when the house is a mess is not cool if some of the stuff is yours.

You should consider doing chores that you can do whilst your games are on - like throw a load in the washing machine.

No I don't think my answer is going to be a popular one. Just calling it like I see it.

Not saying do all the chores. Just saying give a bit of help.