Jeep towed discharged when towing. This is new.

We have had two 4-door Wranglers and batteries failed on both pretty much like you described. The shop foreman for the local Jeep dealer told me something about X amount of power is needed in the system to make it work when starting. Both Jeeps started hesitating a couple of seconds before the started turning the engine. New batteries both times were simple fixes. Hope yours is that easy also