'The answer is, "No".'
Assuming this is the response to "Are the six rows (44, 70, 86, 97, 112, 130) identified in your 'formula giving the right answer' the only rows to contain the word "Total" in column H?", are these six rows the only rows to contain " Total" (note the leading space) in column H.
What I'm looking for here is a way to distinguish these rows from all of the rows whose column G numbers should not be included in the sum.
If they are the only rows in which Total is preceded by a space, then the formula above, with a space inserted between the asterisk and the T should work.
If all of the rows containing the various subtotals have labels in column H that end with "Subtotal," then a SUMIFS formula with two conditions should work:

Both formulas shown SUM the values in rows 4, 11 and 13.
The first does two tests: does the label NOT end with "subtotal" and does the label end with "total". Both tests must return TRUE for the value to be included in the total.
The second does a single test: does the label end with " total". Ths returns TRUE only for the rows including a space before "total" at the end of the label. As the subtotal rows do not include such a space, they, and the rows not ending in total are rejected.
These are alternate solutions to your method of manually extracting the Total row values from the list.
"Why the formula I used is producing zero is what I'm trying to discover."
As am I, and as, I expect, are SGIII and Jeff.
Going up the thread a bit, what are the answers to the diagnostic questions I asked on September 7? The purpose of these questions was to gather some clues to "what [you're] trying to discover.
Regards,
Barry