Missing the point
Most of the money to be made in shoe games is by knowing when to vary your bet. Altering basic strategy is only 15% - 20% of the advantage.
Spending time and effort learning multiple composition based strategies is attacking the part of the game with the least amount of gain. Better this effort is spent learning a simple running count like KO. Note you don't have to count every card, just match up the ratio of low cards with high cards once a round is dealt, and carry this number forward to the next round. Now you know when to bet big or small, which is 80% of the shoe game, and as a bonus you know when to hit/stand on 16 and take insurance (The two most profitable plays).
Given the above here is my take on your examples:
"But let me give you an example. Lets take 7/7 vs. the dealer 10. That is a stand in the single deck game and a hit in the multi-deck game. It appears that the change is related to the ratios of 7s. So lets say that a person has 7/7 vs. the dealer 10 in a multideck game and also sees 3 other 7s on the felt. Could he conclude that he is not likely to draw yet another 7 and change his hit decision to a stand."
No. In a single deck game you have 50% of the 7s. In your example, you are only seeing 5/24ths of the 7s, not enough to change strat.
"How about splitting 2s vs a dealer 2? Any way to read the board?"
No. In typical multi-deck DAS game, you need a HiLo -3 not to split.
That means you need 9 two card 20s with no small cards on the board at the top of the shoe, or 8 high cards unbalanced with no small cards, in the middle of a shoe. You will be waiting a long time for that one, and the gain is very small anyways.
"Another example using 2 rounds. Lets say that you are in one of those rounds where there is a plethria of 4 and 5 card totals. On the next hand the dealer has an Ace up and the 10 ratio is balanced. Might you change the insurance decision?"
Probably not. The balanced 10 ratio you see on the current round is probably enough to offset the presumably high + count you saw on the previous round with 4 and 5 card totals, to move the count below +3.
That previous round could have been the deck coming back to 0 after a negative count and now the count is still 0, instead of the +3 you need. Also, HiLo and KO, are only in the 70% range effective for the insurance bet. You are watering down something that is only 70% at its most accurate, not a good way to try to make money.
Keep a simple running count, bet more when positive less when negative, hit 16vs10 when negative stand when positive, and you will make more than any composition based basic strategy can achieve.