SVC does not inherit from `LinearModel`:

```
$ git grep "class SVC"
sklearn/svm/classes.py:class SVC(BaseSVC):
sklearn/svm/src/libsvm/svm.cpp:class SVC_Q: public Kernel
$ git grep "class BaseSVC"
sklearn/svm/base.py:class BaseSVC(BaseLibSVM, ClassifierMixin):
$ git grep "class BaseLibSVM"
sklearn/svm/base.py:class BaseLibSVM(six.with_metaclass(ABCMeta, BaseEstimator)):
```