Golfs-for-fun, are you sure we weren't separated at birth? You seem to think almost exactly like I do. I'm also a troubleshooter. Anyway, I don't think you have offended anyone. Your posts have been clear and the questions you ask are valid, at least to another person who is trying to decide whether to take lessons or not.
This reminds me of a guy I know. He has a wicked slice, but instead of finding out what the real problem is, he just adjusts his stance so he is pointing at the woods when he tees off. Yes, it makes him hit the fairway most of the time, but he loses a lot of distance and when he does hit one straight, it is so far in the jungle Tarzan couldn't find it. I would really like to see what would happen if he took some lessons to straighten it out.
I used to be a horrible putter too. People thought I was misreading the green when I hit it two feet to the side of the hole. In reality, I was aiming at the hole, I just couldn't get it to go straight. Don't know if you are already doing this or not, but I found a tip online to get over the ball, so that if you dropped a ball from your nose it would hit the one on the green. Once I started doing that my putting improved dramatically. I had been standing back too far and couldn't get a good read on the line. Now I wonder if an instructor would have told me the same thing or something completely different.