Comfortable dry atmosphere on resolution, yes, but there's a rules-lawyery case to be made that says if rain, snow, etc. can't get in (implying liquids cannot enter unless carried by someone able to enter) then the same should apply to gases - which includes air.
Put another way, if someone cast Stinking Cloud or let off a mundane smoke bomb just outside the Hut would you allow the smell to reach and-or affect anyone inside? Probably not; and thus you've established gas can't get in.
But anything, as we know, can leave the Hut. Therefore
@Seramus is, by the wording, quite correct.
(on a broader scale: this is what happens when broad generalizations such as "things can leave but not enter" aren't thought through properly)