Might be good if the performance from supplier's products changed with each season. To simulate design success/failure - Renault/Mercedes/Ferrari situation this year for e.g.
Also, drivers to have increased ability on their favourite push level - making some drivers better at 1 lap versus those who can drive steady and make tyres last longer. Which push level is the right one would be for managers to find out...
Enable league admins to select the two tyres available for the race
Make it so that you have to use at least 2 compounds in the race
I don't think having to use 2 compounds in the race is a good idea. Those who can't attend races would be put at a huge disadvantage. But I'm fine with the other ones.
If the overall level of managers using MERC engines had a poor season then that engine should drop off. Plus this should be reverse if other managers out performed on different engine manufacturers. Two compounds would sort out those who put the effort in and show up each race.
