The biggest issue here in my mind is your first score (for want of a better word) Link metrics.
This is arguably the most important metrics to look at but as we know just counting the quantity of links is foolhardy and can be very misleading. Each link needs to also be given a score, therefore only going down 1 tier could make this metric give false positives.
But I agree where do you stop, it would be nice to go say 5 tiers down, so you produce a score on the referring domains / page as well, then do the same for them etc. That all sounds nice and simple but the problem comes with going down just 5 tiers could mean evaluating many millions of websites. So unless you have access to someone else's bot gathering the information to give that score a meaning could overpower the project.
The old term not all links are equal really come into play here. Just knowing this site has x links is not enough, you need a score on each to determine the power of the profile overall.
The other issue which cant be overcome is the links that have been disavowed by googles search console tool. This is 1 area Moz who attempt to produce such scores fall down.
I know from bitter experience that as soon as you put a score on something people start using it without understanding its limitations. The amount of threads I have answered about my PA / DA is higher than X yet they outrank me, why. It's really hard to convince webmasters that these are just guides and require humans to give meaning to these scores. I know I would prefer 1 link from the BBC than 1,000 blog comments. But that is really hard to communicate when people are chasing SERPS.