Ok, I solved the problem to my satisfaction. I'll give my solution in case someone else wants to do it.
I took out the text from
../includes/languages/english.php
Line #567 : define('TEXT_FOOTER_DISCOUNT_QUANTITIES', '* Discounts may vary based on options above');
or from your custom file if you are using overrides. (I still have not grasped the complete overrides things!)
This left an empty cell in the table. So I went to:
/includes/templates/custom/templates/tpl_modules_products_quantity_discounts.php
(I have the overrides figured out here.)
at Line 75 on my file I removed this: