My gut reaction is that yes, they're trying to impress you.
First of all, they should be more interested in you and your situation. New subs, in particular, are labor intensive. I wouldn't want to take on someone who isn't seriously curious. I'm surprised they aren't grilling you rather than showing their presumed plumage.
Second, you shouldn't want to submit your psyche to someone who is disinterested in your needs or requirments. When you've determined someone might be a good trainer/teacher for you, then is the time you might begin asking about what they do and how they came to be here looking.
Third, and my opinion only... You should be feeling a thrill when you talk to them. If they can't elicit an electric response from you, that you feel deep down... that, to be crude, makes you wet, then steer clear.
Especially online. If they don't write well enough to excite you... then what do you hope to achieve? Or are you expecting it to be strictly phone, webcams, and real life meetings?