Yes, they'll probably eat it!
And they dislike draughts, aledgedly (so why do ours keep eating holes in their shed??!!) but will tolerate some wet, ours didint mind coming out when it snowed, think they were frightened of missing something!
As long as shelter is provided, and its warm and dry inside then I'm sure they'll be fine.
Which goat book do you have? Just being nosey, we have a couple and I took one out the library again (Kids guide to showing your goat... great pictures, I borrowed it before we'd even decided if we could get goats!)
We have a billy coming on loan tomorrow, by the name of Caesar...