Not sure about going brown and falling over, but they're the type that forms scapes (which you cut before they bloom) and that have the hard stem between the cloves. You do need to harvest them as the leaves start to brown, which usually happens in early to mid summer, so maybe that's what you're referring to. Wait too long to harvest and the cloves start to separate and the head definitely won't store as well.
From what I've read, they don't store quite as long as most softnecks, but I've stored them for 8+ months on a number of occasions, as long as I've harvested them in good time and cured them properly.