From a purely "graphics 101" perspective, I think it should be possible by editing zoom or aperture width values of the first person view - increasing FoV would make the logo visible by logic. However, I don't know which files you need to modify.

Finding a way to broaden the first-person FoV is a much needed feature to be honest, given how ridiculously narrow it is in vanilla version. 40 degrees... wow, seriously? Rockstar characters must suffer from a severe case of tunnel vision.