Hi sbmohan,
A fig tree is always pumping its stem, and then releasing that energy for fruits and stem growth and starting to pump again to sustain the growths (fruits and stems).
Stress during those "pumping" phases lead to fruit drop, fruit quality loss, less stem growth and other problems ...
If the cutting was taken fully pumped, then it will try to develop fruits. It generally happens on bigger material or cuttings.
In Zone7, I'm still waiting to see a young (less than 2 years) tree bare fruits - except for one particular strain and no that one is not BT; it was the "unknown green longue d'aout".
Now, fruits that appear now, still have time to ripen, even in Zone7 . So if you can keep the cuttings well fed and cared and for you, they have put enough growth already, I would let the fruits stay on. I'm trying to harvest fig fruits; not fig leaves or stems ( are you willing to propagate those trees further more ?).
Now, if you have a super rare or precious to you, variety, in the first year, I would remove the fruits.
My "Madeleine des deux saisons" is two years old (from a small bush that might have been what some here call "tissue culture" - no mention of that, obviously, on the pot), and I still can't see any figlet on the stems , But wait: ... Patience patience ...
I have a breba on one stick that I started in ground 3 months ago, and the plan for me is to let it develop as the stick is already long enough ( 2'/60cm above dirt with T-shaped 1'/30cm length in the dirt / "talon" or heel propagating method )
The trees are yours, and so is the last word on what to really do :) .
Good luck !