The reduced speed limit is a result of Tesla switching to "TeslaVision", which is a fancy way of saying they stopped using radar+cameras and switched to cameras only for AP/NoA/FSD beta. No-one knows for certain, but this may have been triggered by supply chain issues (could not get enough hardware radar modules), but it was probably already planned, since it would allow them to reduce costs on the cars (and, probably, reduce some of the phantom braking issues).
So, cars built without radar hardware (Model Y mostly) must use TeslaVision, and do so right now. This is not connected with the FSD beta in any way. However, since TeslaVision is an integral part of the FSD beta stack, then FSD beta is also limited in the same way, even on cars with radar hardware. Note though that, at the present time, FSD beta cars are running two stacks at the same time: the FSD beta stack and the legacy (production) AP stack, and they switch between them: legacy AP stack on freeways, FSD beta everywhere else.
So, if you have dont have radar hardware, you are using TeslaVision all the time, and will be limited by the temporary 80 mph limit in all cases. If you do have radar hardware (most other cars, though some newer model 3 may have dropped it), then you will not be limited to 80 mph except if you have the FSD beta in which case you will be limited by TeslaVision on city streets, but not on freeways (where you are using the legacy AP stack). Of course, since FSD beta only handles non-freeway driving, the 80 mpg limits is hardly a limitation in this case.
The long-term plan, as I understand it, is (a) to switch all cars to use the new TesalVision stack exclusively (and retire radar usage entirely, even on cars with the hardware), (b) to relax the 80 mph limit as/when TeslaVision is sufficiently mature and (c) replace the legacy AP stack with the FSD stack for all driving tasks (freeways and city streets, though you will still need to pay the extra $$ to access the FSD features).