Only commercial infused stick I've had is an Acid Kuba Kuba.
I had it at a cigar event a few years ago. I picked it as one of my included cigars BECAUSE I've never had any infused sticks.
I did not think it was bad, at least it was different. But I also have not gone back for more...
More a novelty, IMO.
I've made some Bourbon infused sticks, not that happy so far. Contemplating a coffee infusion though!