I would assume they're motivated to cut down on their own tx fees.
One challenge with that kind of argument is that their tx fees are probably a rounding error relative to the overall cashflow of their operation, probably making it a low-to-no-priority for them.
In the bygone days when long distance service actually cost companies a lot of money (at least in absolute terms, if not relative to their operation) there were companies that would come in and go through your bills and optimize your service (e.g. by switching carriers, installing dedicated lines to offices you constantly called, getting contracts for special rates, recommending usage changes-- etc.) in exchange for 50% of the savings for the next year. If they save nothing, you pay nothing.
It was a good business for both the contractor who could make a boatload off their specialized expertise and the company who got costs reduced in an area that wasn't their focus.
I could imagine the same thing existing for bitcoin-- but the security considerations would probably make it a harder sell.