I need some advice about working triceps. Currently I work my chest and triceps twice a week. One of those workouts is 6 sets on the machine chest press for chest and tris, 2-3 on the machine butterfly press to isolate chest, and then 4-5 sets of straight bar tricep pushdowns/pulldowns. The second workout each week I do is similar movements but with free weights - 6 sets dumbell bench press, 2-3 flyes to isolate chest, and 4-5 sets of dumbell floor press to isolate the triceps a bit.
I have concerns that I would be better off doing different tricep isolation exercises, since some sites I have seen say that tricep pushdowns & dumbell floor presses work primarily the lateral and medial heads of the triceps, which I have also seen are the heads of the triceps worked in primarily in the chest press/dumbell bench press - therefore meaning that maybe I should be doing isolation exercises for the long head rather than the lateral and medial heads already worked by my pressing exercises? I have however, confusingly, seen another sight stating that straight bar tricep pulldowns actually primarily target the long head, in which case I’m probably worried about a non-issue.
Any advice or clarity would be greatly appreciated. Thanks!