I would say so. I know a great deal of it is sourced from Highland Game, which I imagine sees a larger percentage of red deer carcasses than other species?But. As far as im aware. The breed usually captive reared for food production is Red. So would this be a true assumption that the majority of Venison you see in supermarkets is Red?
And as @VSS mentions above, so many people who think they don't like venison have no doubt been put off by a poor experience with (quite frankly) bad product from either domestic or imported sources. I have several customers who now buy venison from me regularly following a chat about how they don't like venison.