I'm not sure that changes the incentives - you can't affect what the 'passive' payout is by your choices, so the individually optimal strategy would be the same as it is now. It'd be nice to get a passive payout, but I can't see it convincing people that they don't also want to chase the "scraps"; they'll always do better overall by doing so.
I suppose it could push the return from low-rate swaps lower still, and thereby make them not worth the time/hassle of bothering with, but the market has always looked like there's a lot of folks lending in a highly automated way, which isn't a lot of invested effort in the first place.