IMHO, No.
The only difference between TxA and TxB is the signature and the public key, and both are removed before the hash is calculated.
So there is no change in value, that I assumed. Then hash is same.
Still does not work, since the signature cache is only valid for the transaction in question, thereafter evicted, since there is no chance other transactions produce the same hash. The cache is only an optimization for several inputs using same key.
The cache is transaction scope also since I do parallel validation of transactions of a block on a number of threads.