The reason it's weaker and thinner is that honey has antimicrobial and antifungal properties - so the poor little scoby organisms had quite a battle on their hands to even live. This is why honey isn't recommended for kombucha.
Yes, the poor delicate scoby will just have to deal with it, because it smells like regular kombucha, tastes like regular kombucha, so it's kombucha. Most importantly is the fact (if it does indeed thrive with more batches) that I will not need to have sugar around.