The problem is in the “Classic” name. In technology, it should be modern, but “classic” induce perception, that it is outdated. We want to “classic” translate to “stability, predictability”, this is a good thing, but together we should demonstrate latest technology achievements, etc., etc. I know many WP power users who are skeptic with CP only because “classic” means “freeze in development” for them.
I am sure, that this old-fashion logo sends wrond message. Previous logo is fine, though. Jus can be shortened to ClassCom nickname. Not a name, but only nickname.
The thing is that developers don’t get to choose how everyone else shortens a product’s name. Marks & Spencer in the UK, for example, was known for years as Marks & Sparks. Matt Mullenweg even insists that WordPress should be spelled out, but he doesn’t get his way either. So you might wish a product to be called C-Com, but most users would probably still call it CC.
And, if Classic isn’t in the name, there is no branding connection to ClassicPress.