I want to play all my games on the Web (3 ?)!

Lutris is a good start.
But I would like to play all my games on chromebooks and furthermore having all games on the web would mean a lot less hassle for the gamer.

I think people would love to pay an timely/hourly/daily/weekly/monthly/no/? fee.

What do you think?

That has nothing to do with Lutris.

There are many services that are offering that: Amazon Luna, Google Stadia, Geforce Now, etc. Just pick one of them.

Ohh, I would be happy if they would have all the games that are available through Lutris, but they don’t!
Furthermore they don’t have a good fee structure, i.e. timely/hourly/daily/weekly fees.