SFR (single frequency repeater) is a great idea and my it is works well when properly implemented. The AT578 (any tone dual band dmr mobile) technically supports SFR, and my testing suggests it does work, but it appears to work very poorly. That is, the receiver is deaf and this is consistent with what I have read about the AT578. On the other hand, some commercial radios, like a few Hytera radios can support SFR and do so properly.
Years ago, I corresponded with a HAM in the UK who was running a 70cm SFR and it worked well. I forget what commercial radio he was using as the SFR, but if memory serves, he worked in the industry and it was some type of motorola.
Bottom line, SFR is a viable concept, if the radio implements it properly.