What if you started every game with 2 Sheep right under your TC?

I know you always spawn into most maps with some sheep near your TC, but as we all know, you sometimes get games where you can't find them without using your villagers, which leads to some rough starts.

Just for theory's sake, what if there was a change such that you always start with a minimum of 2 sheep underneath your TC? The other sheep you'd still have to locate would be reduced by 2 so that you have the same amount of early food, but it'd ensure that, at least for a couple of minutes, your TC is never idle early on. But would this result in bigger changes than I'm thinking of?

And before you say "Incas", they'd obviously get the benefit of being able to freely use that Llama for scouting and for the extra ~90 food.