I can see some philosophical differences between the two statements. I can see people being pedantic and either saying they're NOT different, or insisting that they ARE completely different.
I guess, Going with the Flow would be like riding along in the passenger's seat. Wherever the game is headed, just go with it.
Flowing with the Go, although wonky English, sounds like a cheap and easy way to use Lee's 'Be like water'. Whatever happens, stay fluid, keep flowing.
... Or some shit.