Excellent description, however I'd like to point out one small thing - which may not be quite so evident if you don't have a force feedback stick. In the A-10C when you adjust the trim the stick moves to the trimmed position. This is different than on most aircraft. The reason is that the A-10C trims with its control surfaces, whereas planes like Cessna's trim using trim tabs, not their main control surfaces.
I'm also not absolutely sure if pressing "T.O. Trim" has the exact same functionality as pressing "Trim reset". In theory it should be somewhat different but it might just be a glorified 'trim reset', at least as implemented by DCS A-10C.