i don't think it will autoplay the livestream, but I think it's ok to have 1 category 1 video. I think I began my testing with just 1 show. In otherwords, they'll still land on the channel and see the list of shows (ie. 1 single livestream show). It'll be the thumbnail screen of it, which they'll have to click to begin the livestream.
I can't see how there'd be a workaround to the template.