Honestly, I would think that Dr Gotham could overpower a chain that can suppress a lord of order.
The impression I got is that being a lord of order or chaos, when it comes to magic power, is like water out of a hose. It's not that they can use all the power at once, but rather that the power is effectively infinitely renewable.
Dr Gotham, from what I remember, has like tens of thousands if not hundreds of thousands of magical artifacts in his timelord trenchcoat, which he taps for magic like a magic the gathering player tapping land.
I would therefore while his magic reserve isn't infinitely renewable, I see no reason why he couldn't tap as many of those artifacts as he needs for the task at hand.
In DnD 3x terms, Lords are like warlocks, they can cast their spells 24/7 without their mojo going dry, but I would think that Dr Gotham would be like a psion- His mojo runs out, but he can "go nova" by spending all of his mojo at once.