Front facing Web Ad rates aren't what they appear to be.
When I was working for a large North Carolina based Bank, a past client of mine wanted to refinance his 1.2m loan. We were at 3.50% (garbage.... which is why I left that Bank...) He had $1m of funds at Schwab and closed with them at 3.0% back in October.
This client called me to see what we could do now in late December. He is "frozen out" at Schwab until 120 days pass from his previous closing. The quote he got from Schwab was 2.875. With his $1m they were able to take off .50, so net, net 2.375%. If rates don't move much, once February rolls by he still may get sub 2.5% money.
It's still possible to get sub 3% Jumbo rates if you are at 55-50% LTV even though you don't have $1m of assets with Bank A, Bank B, or Bank C.