Would the MCU general public have to know the identity of Cap? Why can't it be a secret (secret identity in a MCU film you say? Ridiculous, I know!)?
The comic general public didn't know Bucky was Cap until Zemo leaked it, the same could happen in the MCU. It would certainly give Seb Stan something to do because at the moment, to me, Bucky's a total non-character.
And yeah, White Wolf, sure okay in the films (not a massive fan of it though) but they couldn't do that in the comics unless they pulled some Marcus Johnson & Cheese level of bullshittery.
But then again do I actually care? I've resigned myself to the belief that I'm not going to get anything better than Latour's run, never mind Brubaker's.
Answer: ... a little.