“I’ve been through the desert on a horse with no name….”, and I know it can still get cold. LOL
If it were me, I would still stick with Type F or LV HG. I know Valvoline, Castrol, and Mobile still make and market Type F.
The collector and muscle car group still demands this type fluid for their vehicles. I am very surprised your local auto stores do not stock it. It is a little harder to find than most fluids, but it is out there. NAPA, O'Reilly’s, PEP Boys, and even "Wally World" has it here locally,
From what I have been told, Type FA is a more recent blend that is approved for use in the 50’s and early 60’s automotive transmissions which required Type A and also in the Ford mid 60’s – late 70’s transmissions which required Type F.
Coincidentally, the early hydro units from Deere specified Type A. So based on this, I would think you are also safe to use Type FA in your hydro (although, I have never used it). The "original" Type A fluid was a whale oil base, that would jell and go rancid as it aged.