It's true, it's possible that could happen.
I think the problem is two fold though, one, from perspective, we're used to the reverse. Since the post Evans era we've had a succession of managers who have, in the main, tried to solidify the defence before making us more expansive.
Of course Rodgers upset that apple cart, & instead of trying to right the cart, Klopp has decided to turn it into something else.
Secondly, Klopp's system doesnt seem at all set up to become a defensive unit. It's all about defending from the front. Pressing & pushing up the pitch with possession & without to deny the opposition time & space, if not the ball entirely.
You can make that work much better than we are now, but I highly doubt it will ever be something you could class as defensively solid.