I expect that we'll see more teams that don't go to every race - including some pretty good teams. The Wood brothers did well with David Pearson without running every race.
If I didn't have sponsorship obligations to run a particular race, and my typical finish wouldn't win enough to exceed my expenses, then I'd be tempted to skip it. Spend my time and money working on the car for another race where I felt my performance would be better. Especially with this Chase deal - if I'm out of the Championship hunt then I'm less motivated to finish the season. If skipping a race won't drop my standing in the points (or the payoff difference isn't much compared to expenses if I did drop a position), then I might be smarter to go test or even just watch the race. Sometimes you can learn something by taking a step back.
I hate to skip races because I really want to race, but I also don't like getting lapped and I can't keep racing if I go broke.
The well-heeled teams may not be in this position, but they might decide to cut back on how many teams they run. Wouldn't surprise me if some four car teams become three car teams, maybe running a fourth car when there's enough money available (a nice way of saying "when a driver brings enough money to buy a ride" - which is already happening).