Haha I have a bit of a headcanon about that, and qingcong and I talk about it all the time. Colin is most definitely the only one in all of Gotham/the world who can ‘persuade’ Damian to do anything, let alone anything he wanted.
But let’s be real, Colin would only use that ‘power’ sparingly. Like, when someone’s in danger or Damian’s losing his mind via anger or grief.
(Or, if they’re in a romantic relationship later in life, well. Colin might use it to initiate a few other benefits~)
Most of the Batfam probably think it’s pretty damn amazing of Colin. But Dick and Bruce are also a bit jealous because Damian opened up to Colin, and not them, and they don’t know all of his secrets. :( They’re jealous dads~