I would put that in the introvert spectrum. Complaining about "shallow" interactions is, I think, a big telltale sign of introversion.
I wouldn't call deep conversations a form of socializing, like being alone, this is a bubble, except this time, there are several people in the bubble. Extroverts don't like bubbles, and I am sure deep conversations are draining to them (I am not one, so it is just a guess), and they may want to break free of them, for example, by bringing in other people. On the contrary, in social situations, introverts will want to form the bubble as soon as they can, keeping the small talk and all that to a minimum.
To add to this, I'd say that when people say "deep conversation", they generally mean "comfortable conversation".
A lot of conversations that I've heard described as "deep" are superficial discussions of philosophy/politics (see most of HN) or jargon-filled discussions of specific nerddoms that people are interested in.
Technical discussions are fine, but more personal things are probably what the parent comment is going for. I can totally see an extrovert being annoyed and uncomfortable with the "realness" of conversations that only have place within very small groups.
As an introvert, I would say there is a difference. Deep here is in the eye of the beholder and I agree with idea that a deep conservation doesn't drain me and can in fact be energizing. Comfortable conversations are more on the fun and light sight but they can be an drain on my limited social energy reserves. I like them, but I need recovery time. The 'deep' part may mean different things to different people but to me its one where knowledgeable people are discussing aspects of that knowledge at a, well, deeper level than most conservations allow for.
I wouldn't call deep conversations a form of socializing, like being alone, this is a bubble, except this time, there are several people in the bubble. Extroverts don't like bubbles, and I am sure deep conversations are draining to them (I am not one, so it is just a guess), and they may want to break free of them, for example, by bringing in other people. On the contrary, in social situations, introverts will want to form the bubble as soon as they can, keeping the small talk and all that to a minimum.