This aspect will muddy your communication; it will incline both of you to project a lot of potentially incorrect images onto each other, which will only lead to disappointment later on. Your friend will idealize you and the friendship; their expectations will run high, and they could lose sight of the fact that it's impossible to have perfect communication with anyone. At some level, they probably won't be entirely honest with you about themselves.
This probably won't be out-and-out lying; this will be more of a failure to really tell you who they are, what they're thinking and feeling and so on -- maybe because they don't really know! They feel their way through life based on impressions and they can delude themselves pretty easily as to the nature of your friendship. This influence might not be very pronounced, but you'll still at least sense its influence. Though you could both think that your communication is wonderful due to that idealistic slant you'll put on everything, the truth may be more complicated than that.