main reason not to use hot water is because of all the sediments sitting in the bottom of your hot water tank- you're right, you'll get the same 0 TDS as your RO and DI unit remove all those sediments- but you're just going to end up paying more for the hot water, the pre-filters you burn through, the RO membrane getting chewed up, and the DI becoming exhausted faster.
If you have an 'instant' hot water device that works like a reverse radiator, that's a hole different ball game and then yes, you can definitely use 'warm' water to get a much faster production rate (as the water is warmer, all the molecules are 'spaced' further apart and find it much easier to pass through the RO membrane.) What people are doing with the bucket of water and a coiled line going from the cold water to the RO unit is identical to the instant hot water devices.