Multisig – Can I link a seed to two multisig wallets?

Consider two multi-signature wallets, Wallet A and Wallet B, that use the 2/3 signature method.

Wallet A consists of seeds A, B, and C.
Wallet B consists of seeds B, C, and D.

Now let’s create two transactions.

Transaction 1 is a spend from Wallet A signed by Seeds B and C.
Transaction 2 is a spend from wallet B signed by seeds B and C.

question:
If I use the same seed in different wallets, does that essentially connect these wallets and thus link my transactions? How does this affect the privacy and security of the wallets involved?