Let the teams decide where and when they want to test, certainly give them options to do so on event weekends if that's what they want. I don't agree with any limits personally, but anything is better than what we have now. It really is stupid that we even have to talk about whether teams can practice and where they can practice and how long they can practice for.
I don't really subscribe to the view that new teams need to be given some additional advantage, teams have managed to come up through the ranks in the past. But, if necessary, give them some extra time at a track the FiA pays for, be that at an event or somewhere convenient to them.
But isn't the idea to attract (or keep) teams in F1 without having to spend more money than to make it financially viable? Like what happened to BMW, Honda, etc? Is it one reason Mercedes came back to F1? Maybe it won't work out like that in practice, but on paper i think it's a good idea.
My view is that teams historically might have left F1 for financial reasons, but I don't think that's the prime reason teams (certainly those that have been successful) join. I think teams join because they have a purpose in being identified as the best of the best in motor sport. Somewhat like owning a Rolls. If Rolls made an car that was affordable for middle management it would no longer have it's status symbol stature.
The spate of teams that left F1 did so because their industry was in crisis. They were always going to be lost for the time being. When the motor industry gets back into a boom cycle the top marquee brands will be interested in rejoining - as long as F1 is still seen as a pinnacle.
I'm sure soccer would be cheaper and bottom teams might find it more affordable if all teams could only practice one day a week, but, as the standards dropped, who would be left watching apart from the die-hard fans?
I doubt many would agree with me, but what we probably need to do is make F1 more exclusive by allowing the top teams to spend more. The paradox of F1, which for me has even more truth than the paradox of thrift.