There is no doubt about the fantastic construction that has been done here. A marvel to achieve this property arising from a numerical crossword.
What didn't sit particularly well with me was the method of solution. Armed with pencil, paper and calculator there were times when the arithmetic logic could go no further and progress was limited to knowing some of the five words outlined in the preamble. It seemed rather a topsy-turvy approach; normally we solve arithmetically and use the complete set of letter values to form a message (or, in this case, a set of words). I think this was a flaw as the method relied to some extent on educated guesswork as to what (some of) the words were.
With only a calculator as help I didn't find it as easy as others.
Thanks, Elap, for a reasonably entertaining solve and a remarkable construction.