Although I said that I decided to combine the two solutions above to solve my problem with the outlines of the text and arrows, however, it did not quite help me. When replacing the font of all the main dimension lines that do not contain text, but only numbers, with a shx font helps get rid of the font outline. And for callouts containing text, in turn, I use the second method in that I create a second layer of these callouts already on the sheet layout itself, and I use the "Hide" command exclusively on the viewport. In this case, the font is filled, BUT this does not apply to the arrows of the dimension lines, and this is a problem for me. Yes, you can bother and somehow miraculously make dimension lines and text of these dimension lines separately and use these two methods for text and for arrows, but it seems to me that this is some kind of nonsense.
In fact, I do not understand, am I really one of the few people who need a normal, clear drawing on a sheet for printing? Is there really no normal solution to this problem? Because I have found almost no solutions to this on the Internet, and if I have found them, they are not what I need. If you use the "hidden lines" mode from AutoCAD, you encounter the problem of distortion of lines and the font itself, and if you use the hide command or "Hiding lines from previous versions", you encounter the problem of the font outline, arrows on dimension lines, etc.