I dont have home network.
I always use "Public" profile with any firewall as its little tighter security than "Private" And also as no home network here.
I have used "Public" profile with Windows FW, Kaspersky FW, Eset FW, Comodo FW, etc... with no probs.
But with Avast IS, if I select "Private" then no probs BUT if I select "Public" then programs updates, login, etc works but browsing doesn't works i.e I get check internet connection, took too long, etc...
Any info?