No.
Extroversion (insofar as it is defined within the MBTI) is a method of transacting incoming stimuli into cogent thought. It has absolutely no connection to one's intellectual efficiency in converting said data into complex associations.
Extroversion does not imply superficiality. Introversion does not presume depth.
Subtle is the Lord.
The appearance does though - The flaw in perception there lies in the fact that depth and breadth in living are often taken to be mutually exclusive.
Are they?
Culturally, we're fed with the notion that "still waters run deep", while the quick crispness of Extroversion is met with "all the depth of a Saltine cracker".
It would be interesting to see the link with self-monitoring - I'd make a guess that Es are considerably more self-monitoring.
Is this not another layer of complexity. Extroverts tend to live more lives than one.
Where comes the energy for living this?
One has to dig deeply, before one can spread out further.
The charge of shallowness comes, because sometimes, the extension is not supported by digging deeply enough yet. That need to reach out kills a young sapling if it has not dug deeper to take on the burdens of more yet. The danger of masks. You become it.
Does it make the reaching out shallow? What part of it was a lie?
Merely the perception.
"He who lives more lives than one, more deaths than one must die". (Wilde - probably one of your best extroverts in literature)
Extroverts carry the weight of others. Introverts carry the weight of self. (Nice phrase, Mort).
Hence the need for development, and in all things, balance.