I see a lot of checked strollers sitting in the jetway but rarely see someone in the jetway waiting for their stroller. I think a large percentage of the stroller-checking-passengers sit in the back of the airplane.
I'd consider a stroller bag for gate checking. It keeps small parts contained, if they get knocked off, and adds protection from parts of the stroller getting caught on something causing damage. This one is just an example, not a recommendation, that I found with a quick search.
As a general rule, airline websites are well indexed. You can find answers quickly by Googling the airline name and the policy you're looking for. i.e. "United strollers" or "Delta bag fees".