Is it a fused disconnect? If not, then yes, it will only be rated 10kA. But if it is fused, it is usually going to be rated for the rating of the fuses, often 100kA or more!
The elevator equipment is another matter though, YOU cannot change the rating of it in the field, nor can you change the Available Fault Current by using fuses (as many people seem to think). IF the equipment manufacturer listed their equipment to have a Series Rating with specific fuses, then that's allowed to be outside of the unit itself, but
you will need documentation of that from them. Generally though if they had that, they would have put it on their nameplate as per UL rules.
Everything I find is that the controller itself is not code compliant.
Well, TECHNICALLY, Code does not say that the equipment mfr has to deal with this, but Code does say that it cannot be CONNECTED to a system with more Available Fault Current than what the equipment is listed for. The real problem lies with the purchaser, who ALLOWED the elevator equipment supplier to get away with the "lazy" approach to the requirements for SCCR listings. UL allows a "courtesy" listing of 5kA with no testing and zero attention to component selection and listing, so that's likely what they did, essentially "kicking the can down the road" to whomever is installing it (in this case, you). So yes, MANY ECs are having to deal with this issue in the field, and there are no simple solutions. The REAL solution is a process of educating end users who are about to buy equipment that they must talk to their electricians FIRST and understand what they must DEMAND, in their purchase specifications, from the equipment vendors. I.e., "Elevator controller SHALL be UL listed with a minimum of 25kA SCCR" (or whatever value you have calculated that they need). That is a tough row to hoe however...
What Jim Dungar offered are likely your best options, but before you start buying anything, the
first thing to do is
DETERMINE what your Available Fault Current is at the disconnect you are providing, and if there is any appreciable distance from your disconnect to the elevator panel, what it is there. It's REMOTELY possible that, under the right conditions, you might have less than 10kA at your disconnect and less than 5kA at the elevator panel. Knowledge is power...