I think its very hard to define what type of avoidant each person is, there is no doubt a lot of these symptoms that are described in alexithymia also applies for avoidants. What exactly makes you think you are connected to this alexithymia? Any specific ideas? What got to me personally was this:

Alexithymia is defined by:[9]
- difficulty identifying feelings and distinguishing between feelings and the bodily sensations of emotional arousal
- difficulty describing feelings to other people
"or if they do form relationships with others they usually position themselves as either dependent, dominant, or impersonal, "such that the relationship remains superficial"

But again what makes this different from AvPD? I never involve with other people unless I know I will be accepted (either being the dominant part or the dominated). Does any of this relate to you nowhere?