The last time I received a crazy high BPO, I changed the list price to the bank approved price and listened to the crickets chirp as I received no phone calls and no showings. I reduced the price by 5k per week until we started getting activity. The bank eventually approved the price at which buyers were interested.
I have had two transactions, recently, that lender (one a second lender) did exactly what you stated:
urge to accept the DIL.
Imagine the banks getting greedy?!?