I wouldn’t mind a system, but there is no way developers would integrate this into single player experiences. The ecosystem already has demos to sell the game, and then trying to personalize ads for each player, game, region, age would infringe privacy at some level. Evolve them as games age, just seems like a way for systems to stagnate or when the ads stop games are free.
You already have F2P experiences which do this, social media is plastered with ads, even used to be free products like Microsoft Solitaire or Minesweeper are riddled with ads until you become a member. It just burns goodwill for companies while being a hassle to get people to upsell.
Could it work, sure… but it’s more likely to work on subscription services versus individual games because you can be sold games within the same ecosystem or franchise. Battle net has cross pollinated products on "Buy a game, get a mount or card back in WoW/Hearthstone. Get a free music kit/announcer for Dota 2/ CS with a purchase, it does work. Getting the Stanley Parable adventure theme, or shrimp facts while the game tempo slows down is at the very least a smile and laugh.
Could be that when you are wide awake, you are hitting early, so as you get tired, reaction time slows down so being early turns into hitting on time and a theoretical window being larger. Rhythm gamers usually make small adjustments the longer into a session they are because exhaustion just staggers response time, not necessarily ability.