I was thinking more of the winds being a power source for the teleporter, and the actual teleporting would be through liminal realms essentially stretching between each of the sites. Would that be possible, or am I misunderstanding how little realms work and the capabilities?
Distance still exists within the only version of liminal realms that can be created at this point. Two points being 'bridged' by a liminal realm would be no different to them being connected by it being possible to go out the door and walk between them, and it wouldn't make it any easier to teleport between them.
It's not a research project, it's a skill to be honed. The only assistance that can be done is to provide enchanters to collaborate with, and that can easily be done with CF or with the Wizards in Mathilde's employ.
-collaborate on extracting non-dhar knowledge from the skaven(engineering, medicinal, strategic about shared enemies, etc)
Everyone involved is already going to take whatever opportunities arise to gather what intelligence they can. If you mean deliberately starting a conflict with the Skaven so that there would be more opportunities for extracting knowledge, that would be a no.
-collaboration with cython on researching a way to achieve their "next step" of attunement to a wind. I.e. becoming more magical and less material
Your best bet is to be a dragon, that works for it so that's its advice.