'Steak' pies could be considered 'southern', hence are probably from cheap cuts of beefsteak.
Whereas 'meat' pies are probably 'northern', containing nothing but horns, ears, tails, testicles, hooves and ar$eholes.
Genuine Jock pies should at least have lamb or mutton mince in them - did you mean 'mice' or 'mince', PN...
But they also oozed so much lard that they would probably explode if exposed to 100% oxygen...