Fact is, innings are innings. There are only so many of them available. If you burn them up by August what difference does it make? ABSOLUTELY NONE! They dont count more in September then in July, do they? Use them up, as long as you use them up wisely. There is absolutely no possible reason to save innings whatsoever.
Anyone that tells you different needs to learn to count on their toes.
If I needed pitching and I knew you were out of innings, why does that matter? Your pitchers are available to everyone. If I want one I have to make a move, and make a good offer, otherwise someone else gets the pitcher.
As for the games played for batting positions, AGAIN WHY DOES THAT MATTER? It is true there are only so many games to go around, but why does it matter when they take place, as long as the games are optimized.
So what does this mean? If you want to burn innings early, save batting position games until later in the season when you can get some hot bats. Dont use any bats not red hot! Don't wait too long to start making (or accepting) offers.
Tough strat, but it can be worked if you got the stones for it, IMO.