Of course they’re directly associated. The federal minimum wage has historically set the floor for wages. There’s still people today earning $7.25/hour and the outrage at the mere mention of an increase goes to show it does matter.
The last time it was updated was July 2009. It has been over 12 years since it’s last update, and we’ve had an average of 2%-3% yearly inflation rate. I only recall some people here mentioning wages (minimum and otherwise) have not kept up with inflation, but they were certainly not conservative. With the minimum wage specifically, the conservative opposition was certainly pretty clear.
But now is a problem? Really?