That's what I make as a pie - home made slow cooked stew, into pie tin, home made pastry lid. My kids wouldn't eat more pastry than that, DH and I wouldn't want more pastry than the lid, and I cba to blind bake a pie case... Its better with just the pastry lid.
For sweet pies I do the pastry base.
In a cafe or restaurant... it depends on the type of place I guess... would you really pick a pie up in your hand in a knife and fork place? Should it not come with gravey?
Pie from a bakery or butchers to be eaten as take away or for a picnic should be pick-upable so should have the case, and could be eaten cold.
Different pies for different circumstances, all still pies, IMO 