Do you normally use smaller spools? Does your spool pin have a good flat platform at the base of it? My pin sort of floats out there but it comes with various little plastic platforms I can put on the base - I keep the widest one on and that helps with wobbling with larger spools & cones. (This is assuming you have a vertical spool pin.)
You could also try flipping the spool over and see if it unwinds better the other way. Or the old-school method; drop it into a can behind your machine and see how that does.
I use CT thread a lot and no problems, but my machine is not at all picky about thread.