You can't have your cake & eat it too. This is simple logic.
You're talking about differences in degree the words do not imply. You're confusing mixed market with rejection of markets & muddling words.
You don't have to agree with their policies to understand they don't fit the definition. Definitions don't imply your approval/disapproval.
If they are for unregulated, free markets, then they are absolutely neoliberal. If they are not for that (eg, they're for regulated markets & public services), then they are not neoliberal.
Unless you can refute a definition, you're just fighting logic (in vain).