I have mixed feelings on fletch tape.
The biggest advantage I see with the tape is it's fast. There is no waiting for glue to dry.
I make and sell wood arrows and folks pay me good money for good arrows, not quickly made arrows. I use glue.
Whenever I see folks advocate fletch tape one thing they point out is how easy it is to remove feathers for repair. I don't want feathers to come off easily. I want them to hang on to that shaft and only come off in pieces and kicking and screaming the whole while.
I did use tape on the first set of bamboo arrows I made for myself some years ago. It was easier to use tape on the undulating surface of the bamboo. Those feathers wandered a bit on the shaft in hot weather. Now I have learned how to use glue with bamboo.
No single method will work for everyone and I recognize that fletch tape works great for a lot of folks. But for me I use glue, usually Duco. Duco is readily available at a lot of places, just no longer at Wallmart for $.99 a tube.
Guy