I won't belabor the research by repeating it here. It's been described in exhaustive detail at this post.
The executive summary:
Closing, editing and reopening all become more effective.
Can we do the same here?
I can understand why you are willing to try the way that has proven to work so well at Stack Overflow. I am observing it for about half year now and it looks really impressive and, which is especially promising, it seems to be free from (serious) negative side effects.
On the other hand, there is no guarantee that this will work well here. Rather opposite, I think we better be sceptical because as was pointed in comments we already experimented with such a change about five years ago and back then, results weren't encouraging.
Speaking of that prior experiment, I decided to re-visit and study past discussions about how it went (here, here and here) to see what we can learn from it. I found lots of insightful considerations posted back then and I strongly recommend checking these.
That said, studying these prior discussions left me uncertain about whether it is worth having this change now or not. Some points for or against it I've seen were apparently relevant back then but seem to be no longer applicable. It was particularly striking to discover that my own reservations against this change no longer hold.
It looks like in the years that passed site has changed too much to rely on analysis and conclusions made back then.
We had site name change (which seemed to have much more profound impact than I anticipated), we had a noticeable change in the way how diamond moderators approach blatantly off-topic questions. I think we even had some shift in topicality due to successful rise of the sites that handle law and open source topics (can't say for others but to me this changed alot in the way how I approach these topics at our site).
Suming up above, I think we could give this change yet another try - run an experiment with 3 close / reopen votes for a month or two and study how it works. Maybe this time it will help getting reopen votes work like it did at Stack Overflow (it failed in our previous experiment but reasons for that seem to no longer hold).