How to compare a template template with a template instance?

First, let me introduce you a partial solution:

template <template <class...> class,
        typename ...>
struct is_tbase_of:
  std::false_type
{ };

template <template <class...> class Type,
          typename ...Args>
struct is_tbase_of<Type, Type<Args...>>:
  std::true_type
{ };

In common case, it would work:

is_tbase_of<std::vector, std::is_integral<int>>::value; // false
is_tbase_of<std::vector, std::vector<int>>::value;      // true

But, it would not work on a «meta-returned» template template, ex:

template <template <class ...> class T>
struct quote
{
  template <typename ...U>
  using type = T<U...>;
};

using QVec =  quote<std::vector>;
is_tbase_of<QVec::template type, std::vector<int>>::value; // false...

I'have tried a lot of things, trying to get the second type template arguments (to compare the quoted type specialisation) but it seem I can't get them, even specializing is_tbase_of for «quote» (which would be a less general but sufficient option) seems to send me to the black corners of template pattern-matching.

Thank you for any idea you can have !