If your intention is to speed up Godavari, ask for it. Why to bother about other trains?
If you think 12709 is speeded up, then once check the current schedule and the updated schedule. You will know whether it's speeded-up or not. Check once before you post, please. And yes 12710 is speeded-up.
12727 and 12728 gets a top priority in SC division, even though 12727 is late @ BZA, it's covered and brought to SC max ontime. What more is needed? There is no scope for it's speed-up. 12727/28 speed-up has a...
more... very minimal chances, so please forget about it. If by chance, it's speeded-up, then always it will be late, for sure.
Also, as per the schedule, 12727 should overtake 12763 @ Bibinagar (as per WTT), but it never happens, this is because 12727 is always late, and runs ontime very rare. Atleast I have not seen 12727 overtaking 12763.
Also, 12728 reaching VSKP ontime is a VERY rare occasion.