I'm fairly sure that's right. It would be specified in the contract though I'm sure.
For example - the stable I'm taking Carolina to, offers full care or full livery. The the things the stable is responsible for are listed on the contract. IE: I opted for the staff to be in charge of the stall, mucking out etc, turning her out to the paddock and bringing her in, feeding three times a day. I was given the options also for daily grooming, blanketing when needed, hand walking and also paying someone to ride her, trailering to shows. A whole bunch of stuff. All at extra charge of course LOL.