If a website stores passwords in cleartext instead of hashes, would you have the same response?
This isn't fancy stuff. This doesn't require tens of thousands of dollars in code-audits or pentests to come to light. It's literally the absolute basics of password management. There should be no need to "convince a PM".
Rate limiting, not silently truncating passwords, not setting an extremely low and arbitrary maximum on password length... All of this stuff is as basic as hashing a password.