Hard disagree. For me, "support local" means paying a little more for goods that are 10x better instead of commoditized crap fully optimized for enshitification.
Thats not support local, that is buy higher quality - and while demagogues try to conflate these two - it is very rarely the case in my experience. In cases where it is - you do not need buy local movements at all - they should be the default.
Buying local is usually more expensive because of economies of scale and comparative advantages. And they are often less scrutinized because of smaller reach. Same thing with "organic" produce actually being more dangerous to eat than processed food in terms of poisoning/bacteria.