I don't think I've directly been called intense or deep before (probably because most of the time I don't really advertise much of what's going on inside or it never sees the light of day); however, growing up people usually thought I was sad or serious, and both impressions tended to keep people at a distance, I think.
I have realized that I get the best feedback from others when I kind of squish down my introverted/contemplative nature, and keep that - my more natural, default state - under wraps. People respond very favorably to my more carefree, excitable, enthusiastic, playful, extroverted self (which is totally understandable, enthusiasm/passion is infectious no matter who's concerned - I respond the same way to it), which certainly sees the light of day maybe 30% of the time, and is definitely an important part of who I am, but then I've had it happen where they like that a lot, and then respond quite negatively/distastefully to my other sides, and want my happy side to come out again pronto. It's just interesting. Does depend on the type of person I'm interacting with; obviously some love all sides.