Gear drive trannies are more forgiving when it comes to towing. The hydrostats Hydrogear, Tufftorq, and General Tranmission. Are the 3 used in almost all mowers. The lawn tractors are designed to basically pull themselves. Limited to operator, and lawn cart with leaves. Dirt, fertilizer, lawn roller requires garden tractor designed for ground engaging equipment. Husqvarna MTD, etc don't make the hydrostat transmission and have no control over warranty. Those are covered under the manufacturer of the tranny.
If I replace a hydrogear transaxle in a mower you get 90 days warranty, If I sell you the tranaxle for you to install, the warranty ends at the moment you leave the shop. Towing a lawn roller with a lawn tractor will overheat the oil in the hydrostat leading to quick failure. And will not be covered by the manufacturer of the transaxle. After working on them and doing warranty for 20 years, you get to know what will be covered and what isn't.
If I replace a transaxle under warranty, the manufacturer will have me ship it back to them, 100% return policy. They go through their testing, and if determined it failed do to abuse, I have to pay for your new $600-800 transmission, plus don't get paid for the freight to return it to the factory, nor my labor to install or diagnose the problem.