Meanwhile the second you tame them and put them in pens you have to get a secondary barn building at a minimum to keep them all alive and stockpiling tons of hay is very necessary. I think I worked out how to automate it all properly but it is extremely annoying, you need a lot of hay to keep them fed probably triple what you think is necessary to maintain the nutrition.
Yeah I wouldn't do any kind of animal system or hunger mechanic this way, I think it's a bit of a balance problem more than anything.