Do not believe the Remco site (sorry Remco) but it states that "•Officially from both Honda and REMCO the vehicle is not towable. However, we at Remco have a large number of customers who are flat-towing that vehicle behind their Motor Home and they are not having any issues. Follow the "Emergency Towing" procedures in the owner's manual to a "T" except ignore the restrictions and follow those procedures each and every time you tow. NOTE: If you choose tow your Honda, and have any damage to the Transmission as a result, you will have to pay for that expense out of pocket. It is nothing that Honda or Remco will warranty. Also, it should be noted that Remco sells no aftermarket product (Lube Pump or otherwise) to make this car towable". The Honda owners manual gives specific directions for towing the CRV 4 down. Have not personally checked the fit owners manual, but others say that Honda do approve 4 down towing for the Fit.
Biggest concern would be with the leasing company, is it allowed and can you do the modifications without affecting your lease agreement.
Beverley and Ken