They feel like meta tags to me.
Perhaps an answer is appropriate 3.5 years later?
The proposal to delete proof-writing has the score of -2. The tag is widely misused all the same, but perhaps it is occasionally used correctly. Let it be for now, though some tag-based warning about its use may be appropriate.
The proposal to delete proof-strategy has the score of +9. Browsing the tag, I am unable to find a single recent question that is about "strategy". They are all ordinary questions about proving ordinary things. (The newer trend is to go all-in with (proof-strategy), (proof-verification), and (proof-writing), possibly with (proof-theory) added for good measure. Because, you know, it's about a proof. The subject matter remains absent from the tags.)
Aryabhata's motion to delete proof-strategy is long overdue for action.