Is it more important for someone who plays an instrument to performance to the public than to pass level?

I do think it's the choice of the performers. But personally, I consider performing in public more interesting and can better demonstrate the musician's skill

The real thing is to distinguish between playing music to impress vs. playing music to relate.

I assure you that most people who go to a classical concert will clap his 2 hands just because the pianist is moving his fingers lightning fast even without knowing the background it is in. It just feels like music and it is harmonious, maybe it is vaguely happy(eg. Vivaldi's 4 Seasons, Movement 1), or vaguely sad(eg. Beethoven's 5th symphony, or more commonly quoted as "don don don duuuunnn"). The point here, for most people, is more that musicians are talented enough to make music sound convincingly happy, sad, or just harmonious(or in the case of Jacob Collier, etc, just impressively unconventional). Most people just go here so they can admire the music itself and the players rather than pondering about what the music means. I assure you that most people don't know why Beethoven wrote his 9th symphony(unless he is a quizbowl player, which is yeah).

That is playing music to impress, and I assume the "pass level" is so too. You are essentially making the music teacher impressed with your grasp on an instrument without necessarily making said music teacher think about what the music is conveying(mostly because both the teacher and us as students know what the music is about by practicing, it isn't the point here even if it is something that exists). No, playing to the "public" is entirely different. I would not even consider gated concerts "public" for their skyrocketing prices. No, performing to the public would be more along the lines of making music at a bar at 9 p.m. or on the streets with a hat-throwing clown.

Only then, would your goal be to actually resonate with your audience. And no, listening to a clown throwing hats is different from listening to Vivaldi's 4 seasons for the sake of listening, for on the streets here, the manifestation of happiness is not vague, it is explicit, I mean, he is right here in front of you doing tricks. That relates with the crowd. Meanwhile for playing at the bar, you are purposefully making people think about their past, losing their first love interest in high school, being drunk and losing money, etc. Your primary purpose is not to impress but to invoke feelings upon your intended audience, or at least aid in doing that.

And yes, the leader of the forums, via video chat form, singing and playing piano for the president of the organization, would count as the latter, namely.

In the end, after saying this much, I still haven't answered the question up on itself. Maybe I wasn't intending to. What my message really is at this point is that the two purposes of music really is not comparable. This is akin to asking "Which is more important, swimming or track & field?" Comparisons like this are meaningless, and in the end, we really shouldn't even compare them in the first place for it doesn't mean anything, basically, perhaps.

Yeah, I should stop now. If this gets way too overwhelming to read on your behalf, I sincerely apologize. I promise my next comment will be shorter than this one. See ya!