Heya Jon, thanks.
I have no idea what the specs are for my fan - that's an interesting question. I assume it's original to the house. I'd say the blades have 16-18" diameter? It's on a manual rheostat. That puzzled me at first, as I was thinking it should be tied to a humidistat, but now it makes sense to me. For this strategy, the trick isn't to constantly remove moisture from the air, but to prevent moisture in the first place by water temps or the cover.
Roughly above the margarita in my avatar you can see a big glass french door - it's heavy. I tend to only run the fan at the lowest setting, and even that is enough to pull that door open. On high it's capable of slamming the solid-core wooden door in the bedroom, so it's moving some pretty hefty CFM. On high, I wouldn't be surprised if the cycle time would be measured in minutes. Even on low on a cold winter day, only the sliding glass door in the corner will show any condensation.
I don't see evidence that the pool room ("natatorium" - I learned that word here!) is constructed any differently than the rest of the house, but saying that, the house isn't constructed like any other...
There is almost no drywall in this house. The walls are an oak veneer, or glass or brick. The pine board ceiling (I call it shiplap, but it really isn't) has varnish on it in the pool room, but that's the only difference.
A commercial-sized furnace serves the pool room, foyer and master bedroom. Vents run along the outside wall and exit at the windowsill. It keeps those windows dry and can warm the room comfortably, but it can't heat just the pool room, so 90º air isn't an option for me.
I experimented one time, by blocking all the other vents and closing the doors to heat just the pool room, but since there's no source of replacement air within that space, it just wasn't worth the trouble.
I keep the doors open to the other spaces at all times. When covered or cold, the pool adds just enough humidity to the house that no humidification system is needed, yet it doesn't steam up windows etc.
If I used this pool in spring, summer and fall I'd have no complaints with the strategy as-designed. Winter is when I enjoy the pool most though, so the replacement air challenge is something I wish I could address.