No, you corrected stated that it is "associated" - cause and effect is NOT "well-established".
Moreover, marijuana impairs memory, learning, and mental effort on a nearly categorical and dose-dependent basis.
Ditto for alcohol.
As for whether alcohol or marijuana are the worse burden, the common experience and judgment of modern, developed nations makes alcohol mostly legal and marijuana mostly illegal. You may disagree with that consensus but it is not reasonably open to dispute.
That the consensus is rationally based is very open to dispute, as I have argued. Proof by majority is the last gasp of a failing argument.
Obviously, we differ in the value we place on modern societies in mostly permitting alcohol use but banning marijuana. Dismissing that as simple majority opinion gives inadequate credit to the experience and considered judgement of mankind. Wide scale de facto marijuana legalization is commonly a feature of undeveloped and usually dysfunctional societies, not of modern ones.