There are several articles which state that SST was not sufficient to establish the changing climate for the cyclonic activities in Tropical Indian ocean. I have mentioned several articles related to your query that relationship b/w Cyclone storms, SST and it's effect on Indian rainfall .
Formation of cyclonic storms over the BoB and its progress to the coastal peninsular India is undoubtedly related to the sea surface temperature , yet the SST is to be better studied for the BoB that have well studied by NOAA, they had measured SST even during the hurricane events over the Atlantic Ocean this time during the Hurricane Laura, huge rainfall is the consequence of the both phenomena before and after the landfall process, several literatures are available in support of all those phenomena
For your further information regarding relationships between SST and cyclonic storms, SST remained in the range of 29-30°C even during the advancement of the cyclone towards the coast for the Cyclonic storm Nivar over the Bay of Bengal on 25 November 2020 (Source: IMD)