It's tough to answer without knowing your physical abilities, but my guess is that you will gain some distance since you've only been at it 8 months. In reading your post, you seem to be a student of the game.
What I like is that you are not bothered by this right now - except as a gauge for improvement. In my opinion (I'm not very experienced) and as you stated, trying to keep up with others can be very detrimental.
Be patient, and keep learning and developing your mechanics. Distance will come.
I don't disagree with the sentiment, heck I'll even give it a big 'ole thumbs up. But, just think how much more quality time that dad could have with his kid(s) throughout the years on the course, if they learned the game successfully, and subsequently came to enjoy it as much as their dad did. Rather than becoming frustrated by poor results early on and potentially moving away from the game completely.
To me, it'd still be a pretty good day to take my daughter to a lesson, watch from a ways back with fatherly pride, and then head for an ice cream on the way home. Especially if it leads to being more likely to spend time together later on. Who knows, rinse and repeat with the grandkids some day?