Even with our mods, mod rec is a contentious topic. I don't see this being any other way in the community, unless we set hard rules. Which we can't, because the topic is so open ended. So you using your mod vote to reopen questions closed by the community, based on our understanding of this issue, doesn't sit right with me. I'd appreciate it if you'd allow the community to handle this ourselves, please.
The way I understand it, mod recommendations are allowable if there's a core problem being solved. Something within the game already that someone just has difficulty with, and needs a little help. As stated in your answer, disregard the supposed solution, and focus on the problem. If there is a problem within the question, something we can address, that's what I edit the question to. If its just someone who doesn't like how the mechanics work, and wants a mod to change them to something more favorable to them, that's something I will vote to close without a moment's hesitation.
Our expertise lies in gaming. There are lots of side skills that accrue naturally as part of that expertise, but those are not the focus of Arqade. And as I've said before, allowing any and all mod recommendations is as bad as game recs. Some games have enough mods to make the scope as large as game rec, and those have the exact same problems. We're not here to provide things that might work. We're here to see the problem the user is having, and providing solutions to that specific problem. If the problem is that the user doesn't like the way the game works, well, not every game is for every person.
We're not in the business of hand tailoring a game to a user's liking. Just as we close questions that ask for game genie/shark codes to do specific things, we close questions that ask for mods that do certain things. The scope is too broad to be feasible.
For those questions that have a real problem, and the user is assuming only a mod can fix it, we can reword it to bring the problem to the forefront, remove the request for a mod, and continue on. Like you said, mods can make valid answers, but not if the only valid answers are mods.