In order to have bacon n eggs, you have to break the eggs, there is nothing stopping Liberty who own the F1TV rights, to give it away to whom they please, if they were smart, they would for $1 sell to Netflix, and ask for a % of the profit of Netflix, I am pretty sure Netflix would be keen, why would they not??
Sky offers something netflix cannot, the onboards, the porsche cup, F2/F3, radio comms, if you want that, you go for Sky, if all you want is Q and Race, then you pay the £60 a year or £9 a month for the months you want, added onto your Netflix, I remember a while ago, there was a massive boxing event, and it was pay per view, and there was so much fighting, that the guy who owned the rights, gave access to some tiny broadcaster....
Don't forget that F1 is entertainment business product 1st, it would make sense for Netflix to handle the admin of the F1Tv pro access, 2nd point, the actual streaming is done by Akamai, they handle the actual access to the service, be it Netflix, Sky, youtube, facebook, Apple, every broadcaster uses Akamai to handle streaming..
So really at the end of the day, it is about who gets paid, the actual stream never moves from the provider, the £60 is mostly going to Akamai, F1 maybe gets about 5c out of the deal if that... So really what is the issue? If it was through Netflix, there is more chance of it working, if not then? It is still Akamai, but if there is a problem, Akamai know that there is very little comeback from F1/Liberty...
Maybe that is the reason changing providers was never done?? It is very sus that Sky provide the commentary to F1TV Pro... What Sky does back in the UK is add features, that is not available to international viewers, it is still the same stream going into the UK, but streamed regional it is enhanced, that is what you are paying for...