My take on this: YES, please!
The tag badges specifically reward higher-reputation users that make a significant contribution to a topic on the site. The lack of clarity in leaving out the requirement of "in at least 20 non-CW answers" will only generate angst among users who feel they've worked hard to meet the criterion only to learn that they could still be several answers away from attaining the badge. (As witnessed by the questions on meta)
My meandering reasoning
My suspicion is that this was omitted to increase the enticement or mysterious behavior? I understand the desire to keep the badges a bit mysterious. However, I don't think this omission falls under the four stated criteria:
- What activity is this badge referring to?
- How do I perform this activity?
- Why is this activity important and necessary?
- Who should normally perform this activity, and when?
The omission of a requirement will not further entice users -- (especially from the tag specific page like this one). In addition, the tag badges already create some mystery because they fairly rarely show up under the 'Recently awarded badges':
Lastly, the tag badges are already a bit off the beaten path. When you click Badges, you then also have to click the tags tab: