Everything matters even more if it isn't plugged in. Yah, some of my customers were concerned about a unit that I sold many of, not working. To cut to the chase, I quit putting the power button on the rear of the unit just for that reason.
Of course everything counts, it is just a matter of to what degree. One exception would be that if a cable or component had an issue in the first place and you replace it with something working properly, then no doubt you will hear an improvement.
That is a coarse way of stating that everything does matter but to varying degrees.