It's a funny word; to its advocates it amounts to all the aspects of their life they see as beautiful and worthwhile, rather than attributing those things to mere humanity.
Really it still amounts to another way of pointing out how we're better than the rest, though most such claims amount to little when you dig a bit.
On the other hand, I wouldn't call culture the enemy, I'd go only as far as to recognise sum total includes good and bad aspects and the whole thing need not be saved; no society still lives when it's only in the business of conserving things as a snapshot from history. Good examples of that might be the Catholic Church or Tory Britain.
Culture, if it is anything except an alternative term for society where we leave out everyone not born into it (seed of xenophobia and hate), is simply a set of accepted social norms, coupled with historical mythology and tied to a language. It's nothing to inherently hate, nor is it anything to be proud of.