An electronic kit can be intimidating especially to a drummer who hasn't taken the time to really get into one. Most drummers have distinct preferences in their equipment from the snare to the cymbals. Some drummers use a combination of electronic and acoustic.
Now, the truth is, that does not mean their personal selections will necessarily record well. Most studios will have a drum set set up and tuned and dampened where necessary by a professional drummer working with an engineer to get the kind of sound they want. That in essence becomes part of the studio sound you are offering.
With that said, as soon as you get that done the drummer comes in who insists on using his snare or bass drum or cymbals or whatever. I would let a drummer try what you have sometime
well before recording, first, and chances are your tuned setup may work for him with a minimal addition of outside parts. However, if a drummer insists on using their own equipment
(kind of like a guitarist wanting to use his own axe_can't blame him for that, that is what he is used to) you will have to make it clear to him that he will have to arrange to come in well ahead of time in order to set up mikes, check tunings etc for recording
before the recording is going to be made.
Most studios will allow a certain amount of setup time free, however, it can easily be an hour or so depending on the equipment and the drummer. In that case it is a chargeable bit of time, maybe an extra hour added to the recording studio time scheduled. By the way, don't ever book acts in your studio too close to each other. There always seems to be extra time needed up front or at the end. You might want to consider one of the studio setup books around. There are a ton of them. AND, you might want to consider making friends with a guy has mucho experience recording acoustic drums.