It's possible there is only mink-to-human transmission and not human-to-human. This was the case for MERS, which was contained in part by culling chickens.
Those cases are the original virus, not the new mink mutated one. It was just spread by the mink population.
I cannot find anything online, but it was mentioned by Kåre mølbak in the press conference
If so the solution would be to not shut down the farms because a version of corona that is not contagious would be really helpful. I’m not buying your argument.