So I can give an example. Here in Taiwan, Gogoro has put up a lot of battery swap stations for their electric scooters. When you buy the scooter, it comes with removable batteries which you can charge on your own. Or, you can buy a monthly subscription on top of it that gives you access to those battery stations, where you can ride up to one and swap a pair of freshly charged batteries into your scooter. Subscription price is tiered by Ah per month, if you go over the limit you pay extra per Ah.
In this case, yes I think Gogoro is in charge of maintaining/replacing old batteries. Subscription is separate from the scooter cost, so buying used should not affect your ability to subscribe to the plan.