Let us wait.
If the first CATOBAR-carrier comes without a ski-jump, than I am quite sure they will fit every jet-operating flattop with cats.
If the first CATOBAR-carrier has both, ski-jump and waist cats, than I am not sure.
How does that logic work?
Are you suggesting that the major factor determining whether they can or will fit carriers with catapults depends on the success of the catapults themselves?
I would argue that the major factor for whether previous STOBAR carriers are refit with catapults or not depends on the nature of the catapult and the nature of the carrier it is intending to be refit on.
Not only do steam and EM catapults both require the entire bow flight deck (and waist) to be opened up to install the catapults, but steam catapults also require immensely complex piping and internal work to get the catapult's machinery itself to work. EM catapults are a little better because there is no need to divert steam away from the main boilers, but that still will require either IEPS or dedicated electrical generators to power the EM catapults, and the extent of modifications necessary for both steam and EM cats to work in a carrier which wasn't designed with it in mind from the outset is far too large.
It is of course possible for 001A to have been designed with internal modification for catapults later in mind, but given 001A is meant to be the low risk carrier before 002, I doubt that such a degree of complex future-proofing was done.
So in the case of both Liaoning and 001A, I believe modifying them with catapults is probably far too complex and costly for it to be seriously considered, regardless of whether it's steam or EM catapults.
Also, I do not expect 002 to have a ski jump; there's not been any indication or rumour that it will have a ski jump AND catapults, it has only been described with catapults.
I'm not sure what the fascination with Ulyanovsk and China's carrier programme is.
If the Navy can develop a catapult that they're confident enough to install on the waist as part of the standard fit then it should be equally capable of putting it on the bow as well.