Yes, by information I mean results of all tournaments. Unless your sole criteria is to rank them based on performance at a handful of random national tournaments the data does not exist. PGF is very problematic as the teams are often collections of players from various other teams. Some players are flying in from parts unknown to take to the clay for the first time with their team. Players on the same PGF team could end up playing against each other at another national tournament. Even in ASA you have the ability to pickup players but it is more constrained. You also need to consider the various classifications used by the organizations such a platinum, premier, gold, A, etc. Using ASA as an example, how would you compare 18 Gold vs 18A? Not only do they not play each other at nationals, 18A includes college players. Then how do you fold in 16 Gold and 16A? What about summer college TB teams? Do you include them? These are local teams that you will never hear of, comprised of 18-19 year old college players that typically do not travel out of state. I suspect many of those teams would do very well at any national tournament against less experienced HS players.
This is why I always call the various national tournaments a "mythical national championship". Win one and you are not a national champion. Rather you are the best team, at that tournament, on that day. Still a worthy accomplishment, but claiming a national championship is certainly a stretch. You just cannot do an apples to apples comparison when you have a mix bag of fruit with some vegetables thrown in for good measure.
The most 'unfixable' problem that you mention, IMO, is the transient rosters.
If you get all the scores (which I realize you won't unless all these tournaments get on board and think that's worth the effort), then you can solve the 16 Gold vs. 16A, etc., because a good rankings model can sort out strength of schedule if there is enough scores and even just little connection between the teams. But if the team that wins PGF 18 nationals is a one-time dream team, then it all falls apart. That teams previous results, when playing with a different roster, throws a monkey wrench into it.
In fact, DD plays in an organization where rosters are merged all the time, not necessarily for nationals, but other big events just for practicality. Our 'flagship' team decided not to play in the big NJ showcase this year, and a merger of 2 other teams took their place and still played under the name of the original team that was entered.
