I would not worry about the last item you mentioned. nobody is going back to using Legacy under cabinet lighting.
I've never worried about the adhesive being too weak, on the other hand I have worried about it being too strong and ripping veneer if they ever needed to be removed. Cleaning the surface with an alcohol soaked rag should resolve any issues with the adhesive not sticking.
the only problems I've had with under cabinet lights are the connections, which vary quite a bit in style and effectiveness tween different manufacturers. some are extremely finicky and absolute garbage and will make you wish you had never heard of under cabinet lighting. others are so easy and reliable that you don't think anything of it.
I like the track and lenses myself, it gets rid of the pin-dot effect on shiny countertops, tho they can add substantially to the cost of the job.
Eta: the wire... should be listed for in wall use. Some cheaper speaker wire or zip cord is not rated for such. I also prefer 20/2 solid, because the IDC connectors I use are only good up to 19 gauge wire