You may hear many views on the right and wrongs on this and that, but ultimately you need to be comfortable with whatever you use.
I have always used a set of Crown midi hss gouge, skew & parting tool, the game changer for me was learning how to sharpen these properly, consistently and frequently. The advantage of tct is they remain sharper for longer and can be replaced easily, that said they still need to be presented correctly to work well....
So ultimately its your call, don't think tct will solve all your problems, but likewise unless you learn how to sharpen properly (and it's not difficult) Hss won't either