I TRULY believe that outside of suspect Gambits, all openings and defenses are playable up to GM level.
BINGO! They all work. Its really about which one suits your style more than which one is "good". Typically the person who gets an advantage out of the opening is the one who understands their opening better. If you like a triangular pawn structure around D4/D5 with relatively closed positions, like a Caro or a Slav, the London is great. You have similar piece play, similar pawn breaks, kind of a calm middle game compared to lots of E4 openings. I don't know why people criticize the London. Its much easier to learn than mainline D4 openings IMHO.
As black it's an easy game which is basically equal and totally predictable. I don't see why you'd play the London in an online setting other than because you don't want to study the opening. Even if you accept an equalish game there are far more interesting / challenging options... the nimzo larsen, for example, is far more interesting.
The London is a great, sound flexible opening that is easy to learn, gives you great piece development (great bishops anyway), you get predictable pawn structures with predictable middle game plans. Why WOULDNT you play it online? You just want to make you life unnecessarily hard?
Unless you are sub 2000 you shouldn't be worried about whether a line theoretically equalizes or not. Its all about understanding your opening, understanding your middle game plans and executing them better than the next guy. Why do you think theoretically dubious openings work all the time?