You're assuming Mozilla would be successful at a privacy play because they are a trusted organization. I can't stress this enough: they are not.
A privacy play would be more successful from Mozilla if I were paying them for it. The incentives would be aligned. I cannot pay google for privacy, because they are incentivized against that.
Trust is relative and it is subjective meaning that I trust Mozilla more than I trust google but I also trust them in general, enough at least that they support most of my internet browsing. Unless you mean something else ?
What is that based on?
You can trust your doctor much more about your knee and much less about their billing. Trust isn't binary and isn't per person/organization/object, but varies by person and (activity?).
And anything will be trusted more or less by different people. Is there evidence of who trusts Mozilla with what, and how much? The the fact that you don't trust them or that some on HN don't trust them isn't evidence.
Also, each of us is both commentator and agent. When we say 'I trust X' or 'I don't trust X', we both communicate our thoughts and change others' thoughts.