I do not have a definitive answer. It would be interesting to get a response, but suspect running 2 caches may have some downside.
I also have Lr on a Windows main workstation and on a MacAir for travel. I regard my Windows machine as my main processing engine and as such have the Lr Catelog and cache on a dedicated SSD drive, ie optimised for max performance.
I do not worry unduly about performance on my MacAir. It is sufficient for my travel needs, reviews in hotels at nighttime, jpgs for web or email use, etc. Of course, ymmv.