If I accidentally accept bad input and later want to fix that, I could break long-time API users and cause a lot of human suffering. If my input parsing is too strict, someone who wants more liberal parsing will complain, and I can choose to add it before that interaction becomes load-bearing (or update my docs and convince them they are wrong).
The stark asymmetry says it all.
Of course, old clients that can’t be upgraded have veto power over any changes that could break them. But that’s just backwards compatibility, not Postel’s Law.
Source: I’m on a team that maintains a public API used by thousands of people for nearly 10 years. Small potatoes in internet land but big enough that if you cause your users pain, you feel it.