Please take my comments with a grain of salt, I'm no expert, just an opinionated old man.
Small lathes usually are not very powerful or ridged. Inserted carbide tooling generally runs best with enough force to overcome the eased edge that is there to limit chipping. There are inserts made with sharper edges specifically for overcoming shallow cuts on a small lathe, buy those. There are many advantages to HSS tooling. Easy to grind to any required shape, cuts freely requiring less power and less force. Cheap! You can also buy HSS inserts, not cheap. Given the cost to buy a box of 10 name brand inserts and their associated quality tool holders and all the different configurations you will need, you are talking a lot of $$$. Get an 8" bench grinder, G or H Norton wheels a star & a diamond (for shaping the wheel to other than flat) dressers.