Second, because airplane manufacturers have a significant amount of negotiating power, combined with airlines very often not being in a great financial position: Boeing certainly wouldn't want to be liable for storage costs and the logistics of getting a fleet of planes back to a central facility if an airline went bankrupt, for example. Leases also get legally interesting when the assets involved move internationally on a daily basis...
And the rarity of the incidents plus Boeing's asymmetric knowledge of them would favor Boeing being a guarantor. And remember, I just said the design issues. Obviously the airline would be expected to take hits from e.g. FAA groundings from their own maintenance failures.
Edit: That leaves asymmetric bargaining power in your reply, but I don't see OEM aircraft competition as being so monopolized that they wouldn't compete on "hey this company makes us bear the costs of their design problems but this one doesn't".
https://en.wikipedia.org/wiki/Southwest_Airlines_fleet#Curre...
Orders & Deliveries of the 737 MAX (all models): https://en.wikipedia.org/wiki/List_of_Boeing_737_MAX_orders_...
That said, "relatively easy" is still a comparative: aircraft are frequently leased and having any out of service will be costing the airline a lot of money.
Generally, planes like this have high operating costs, and usually are kept in the air pretty much constantly to be able to make a profit. Having one grounded potentially means losses of hundreds of thousands of dollars a day.
Seems much more likely that they'd need to seek restitution against the producer of the planes through civil court channels. "You sold me a faulty plane/didn't explain what your product did well enough and now you need to refund my money" but on a multi-million dollar scale.