What if Algorand acquired...an exchange

What if Algorand were to acquire a (regulated) centralized exchange. Couldn’t they intergrate it to the blockchain? Let’s say they acquired…hehe…hodlnaut (or uphold). Wouldnt the activity on those exchanges bring up the average TPS on the chain? Wouldnt this further prove that Algorand is one of the best blockchains at scaling?
Algorand could add USDCa on the exchange as well. With state proofs, couldnt Algorand add an interoperable defi hub to the exchange? (Coinbase now has defi wallets on their exchange.)
Having a centralized exchange with plenty of crypto assets (intergrated on Algorand) would be ideal for multichain/interoperable activity.