Not to imply that what you describe is a great strategy, but I wouldn't describe it as pointless. The password "12345" has the same entropy as "b0g4p" but it would be a mistake to think they are equally secure.
At the byte level it does, which is presumably what the OP was talking about when saying that replacing characters with digits (uniformly) does not affect entropy.
I don't think that's identical entropy, since the usage of that strategy varies, and the non-substitution case is more common. But it probably adds less than one bit, and last I checked, 2 * instant = instant.