Here are a few thoughts about that whole section about glorified project managers and how you distinguish them from product managers.
Project managers do not execute, they manage time, budget & scope.
Measuring product skills based on a multi-year roadmap is quite problematic as well. A good product manager will know that planning in that kind of horizon is likely to fail, check out the cone of uncertainty e.g. Every time we ship something, we need to learn and iterate, those are the basic principles of agile & lean product development, which I would value a lot more in a Product Manager.
And also managing time & budget and possibly even scope in a multi year roadmap sounds very project management like to me.
The expression of the "mini CEO" has been discussed a lot as well and very successful and experienced product leaders, such as Martin Erriksson, have emphasized that this is definitely not how product management works. This will give you candidates with an inflated sense of self worth and ego that are usually rather toxic and will not leverage the expertise from their whole team.
So while I agree that prior experience as an actual product manager is very important depending on the level you're looking to hire, your approach is likely to not give you the best result.