What brand of LA? I have an Innova and have had no issues with any of the Superior Thread products: King Tut (40 wt cotton), Kimono (100 wt silk), Omni (40 wt polyester), and Lava as well as Isacord (40 wt), and Glide (40 wt) from Fil-Tec. The way the thread performs also depends on making sure you have the correct needle for the thread weight.
I recommend checking out Superior Threads' website. They have articles on thread (
https://www.superiorthreads.com/education/) and reference guides (
https://www.superiorthreads.com/reference-guides/). The information applies to any brand of thread. This will give you a starting point on thread information. I would also suggest finding a Yahoo group for your brand of LA and see what suggestions other owners have.