I don't split the line. I cut to the side of the line. I always cut counter clockwise. If I cut clockwise, for some reason, I lose control. In sharp corners, I cut up to the corner, and back out a tad, then sometimes I come in a little to the side to make it so that when I finish getting to the corner, I have cut just enough that I can then spin the piece and put the back of the blade in the corner and start cutting again.. leaves a nice corner for me.
I have a hard time on like 1/8" thick wood spinning the piece and not screwing up a turn especially with a new blade. What I do a lot if I'm doing a sharp turn but not a full 90 or if it's past a 90, is I cut up to a spot, I take my foot off the pedal, I spin the wood like 30 degrees, and tap the pedal to make the blade do like 2 cuts, which lets the blade straighten out again, and I may do that a couple times till I'm around the corner. On sharp rounds, I tend to keep doing small taps of the pedal as I spin it letting it take like one or two strokes per tap till I get around the super tight turn. Someday I may break out the spirals I have so I don't HAVE to turn it... but the person who had them when I bought the saw from him, coated them in a ton of oil.. and I am not sure I want to use them and get oil residue on the wood..