You can enjoy being alone and still want people. Both can be true on the same Saturday.

Wanting company and wanting solitude are not opposing positions you have to choose between. They vary by hour, and both can be true on one Saturday without either being the real one. People get stuck trying to settle which type they are, then feel wrong whenever the other mood shows up. It is a preference that moves, not an identity.

Try reading the day rather than the label. Go out in the evening if you want and keep the afternoon for yourself, without treating either as a compromise. Saying you are up for later but not now is a complete answer.