Wired funds come through the Federal Reserve and are good funds available immediately. Even if some teller tells you otherwise. Even if some manager or VP tells you otherwise. Say "I need to talk with your corporate compliance officer"

I know a bank to bank wire can PROCESS a transaction that same day (as opposed to ACH which process in batches by a computer after the bank closes), but does that mean the funds will be available to withdraw that same day as well?

If someone wires me money at 8am....will I be able to withdraw that money by 4pm the same business day?

Typically.