Is "suggest that -- do not" grammatically correct?

Is this sentence grammatically correct?

You ask, does “other than” in § 188.606(f) suggest that variations in the material of a closure for the cover of a UN11A steel drum do not constitute a different packaging design type for which design qualification and periodic testing is required.

If I remove the words as shown below, it seems correct:

You ask, does “other than” in § 188.606(f) suggest that variations (in the material of a closure for the cover of a UN11A steel drum) do not constitute a different packaging design type for which design qualification and periodic testing is required.

Solution 1:

"Suggested that" is not related to "do/does". Your answer can be found in this question: "what do or does?"

Variations do. (If it were singular, it would be "variation does".)