I doubt India really has empire aspirations (they were the pride of the UK once, the biggest one in Empire) - they mainly want to seem to defend their sea and the supply lines. But yes, it would suck for them if both PAK and CHN launched a simultaneous attack at the same time.I did find and link a SCMP story which may have been about the same incident, so it may have happened.
The quote from an Indian admiral about anyone doing anything in the region having to get permission from India was perhaps more illuminating about attitudes.
India doesn't have the economic or military strength to support that sort of attitude at this time, but that is expected to change over the next few decades at which time they may go for a confrontation with China. Alternatively, it may come about indirectly through a confrontation with Pakistan, who are then backed up by China.