Shouldn't have any problems with a wheel on trainer - for reference the Tacx T2240 has three setup options allowing for 26", 27.5" or 29"/700c wheels to be used. I'd imagine from the way it's put together that most of the Tacx wheel on trainers are setup the same way so if the step through isn't a 700c wheel it's still perfectly doable.
They do work slightly better with QR wheels as they supply a QR to properly mount the wheel securely, but Tacx do sell trainer axle nuts separately that you can use as a direct replacement if it is a nutted wheel.