Latitude does have a lot of indoor stages, but if they made them all outdoor I think it'd be pretty safe.
I've always thought of Latitude as very much an 'outdoorsy' festival tbh, probably because I never spend any time in the Comedy tent - just too crowded - or Cabaret, in fact I can only think of one of the music stages that's in a tent, the BBC Introducing thing, one down from the main one, the Obelisk. The rest are all outdoors aren't they, the one in the woods, the one by the lake, and the previously mentioned Obelisk.
It's a festival I very much associate with just wandering around outdoors, sitting in the woods (bastard mosquitoes there ), drinks, spiffs, all outdoors, in fact, I go for the setting and the fact that it's only 30 mins away in the car, not so much the music; although this year there's definitely enough on the undercard to interest me, Dry Cleaning, Squid, Shame, Fontaines so definitely keeping an eye on this.
But, no, never thought of Latitude as having that many indoor stages. I think it would be pretty safe, they might limit the attendance figures though, which if I could get a ticket would be great, remind of the early years of the festival - 2006/7 - when it was much smaller.