I think mandatory minimum wage laws are bad.
They are also misleading. What is more relevant is what actual wages are employees getting. For example I think Shimane's minimum wage is under 1000 (962?) but when I see ads for arbeito jobs they are all at least 1000 and often 1100 for regular hours with later nights/weekends being higher still 1200+ and/or they offer benefits to go with the 1000/hr base like a free meal
Full time work appears to be higher (though I admit to not checking in detail, just looking at occasional ads I see)
By far the best thing the government could do is set the minimum tax threshold to 50 week of 40 hours at the current minimum wage (~2M Y)
I don't know where to get the statistics but my hunch is that almost all jobs pay more than minimum wage and that those rates are gradually going up thanks to the labor shortage. If the actual minimum wage goes up above 1500/hour it doesn't matter what the legal minimum wage does