Good news for me...and it confirms that the left shift issue was a problem with my TV:
I finally decided to hook my CM-7000 up to the S-video port of my Insignia DTV and I ran the video diagnostic test. The reason I havent done it before is, as a Digital television, why would it need a CECB, right? Anyway, it turns out that the image was almost dead centered on it.
Therefore, I decided to assume that the issue was my TV being off center. Of course with it being 20+ years old, I wasn’t sure what could do to try and shift the image to the right a bit, as it doesn’t have a service menu. Upon turning my TV around to see the back, I saw several holes in the back of the cover with labels on them like Screen, Focus, Hor Ctr, Vert Hgt, R, G, and B. Therefore, I hooked back up my CM-7000 and threw up the test pattern, found a tiny screwdriver, and began to adjust the Hor Ctr screw. I turned it only a small amount before it was turned as far as it could go, but the test pattern image looked much more centered...within 1/4 inch...which is tons better than it was before (1"-2"!). I checked my analog stations and I can hardly tell the image position was moved (they already looked centered, which I why I thought the problem was with the CM-7000), while the digital image coming from the CM-7000 looked much better.
It could still use a parallel adjustment (I see a minute bit of a / / type geometry looking in the top right and bottom left corners), but unlike the left shift, it's something so barely noticible that I could probably live with it. Since it's not an adjustable option from the outside, if it could even be done I'd probably have to take the cover off, and given how old the TV is, I'd rather not risk opening it up or move it around any more than I have to.
Now if the dropouts at 100% would subside, I will be a 100% satisfied customer.
By the way, for the experts here who know about the older TV's, what would happen by adjusting the Screen and Focus screws? Is "focus" here the same as the focus on a camera, as in it would make my image look crisper? I'm asking b/c the CM-7000 menus look somewhat blurry to me and adjusting the sharpness doesn’t seem to help.