Nothing wrong with using a decent carp rod, that’s where a lot of started and may I add the halcyon times are amongst the best. Would I purchase a new carp rod? No, but I’d use one of my older ones as a backup and still use a 12ft for pollock fishing from time to time, especially if I need to cast 80-120 gram lures.
But there’s no chance of working a lure to enact any action, that’s where modern lure rods come into their own.
You cannot as John has tried to do, limit to length and weight as a definition, that’s a WSF groupie talking drivel.
But I guess there in lies the inherent issue, which gets back to spinning vs lure, I believe it came from the salmon fraternity as the earlier rods were made by the traditional salmon fly rod makers for the salmon fly fishers. And, by that involvement you’re bound to end up with traditional vs modern.
Anyway you go and have fun and see what works for you and don’t get too hung up on what everyone else has or says and if you’re in the market for a change later in the year, then ask then.