I'm pretty certain it must be possible to have both. I suspect I'm on the spectrum. As a young child, I was very outgoing and chatty, but when I was round 7yrs, I suddenly became incredibly shy and selectively mute. I'm not fully sure of the reasons, but I remember becoming aware that I was being made fun of, etc, and lost my confidence. I seldom spoke in class, never answered questions and sometimes spoke via other children. I was 32 before I overcame the shyness and the selective mutism. But, I still have a degree of social anxiety (which is not at all obvious to anyone), which is no doubt connected to perhaps being on the spectrum. The selective mutism is a separate issue, but connected, for me anyway.
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"We act as though comfort and luxury were the chief requirements of life, when all we need to make us really happy is something to be enthusiatic about." Charles Kingsley