I'm not sure if this is the same problem reported in https://orionfeedback.org/d/3328-saved-passwords-autofill-popup-not-showing .
Steps for Reproduction
When the provider is Orion Keychain and the first option is not selected:

Then switch the provider to 3rd party, the autofill icon will disappear:


Expected Behavior
However, it should be:

In other words, an option for the third-party password provider may be missing and the orion keychain settings should not affect it.