Most often, omitting qualifiers like this leads to ambiguity, rather than changing the meaning, since the listener doesn't know what you omitted.
So:
I saw James working out as before.
Could be:
I saw James working out as he worked out before.
Or:
I saw James working out as I saw him before.
You have to decide if your listener is likely to guess the correct version, or whether you need to be more specific.
I don't think it makes sense to say it "removes the meaning" - the "as before" still tells the listener that it cannot mean:
I saw James working out for the first time
Obviously if you remove enough, then the sentence has so many possibilities that you are no longer communicating the same thing:
I saw James
This includes all the previous possibilities, but the listener has no hope of guessing the details you've missed out.