I’m not sure what other banks are doing but recommend not following any other bank's lead on this; make your own risk- and customer service-based decision.
If your bank indicates underwriting criteria, I would either indicate this is what your bank uses and be specific, or that these are general guidelines and each bank sets it own specific parameters. That’s a great time to say “contact us for information on loans, deposits…”
If you are not specific, some potential customers will read these as your actual criteria and argue when they don’t qualify and claim it was deceptive and misleading. That can only lead down the wrong path and that is why so many lenders use “With approved credit” in ads. Your disclaimer sounds appropriate.