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If a picture is worth a thousand words...
... then maybe this will help.
If you make a copy of this sketch and square off the nose of the pawl, you can imagine what is going to happen.
a) The pawl has to drop so far for the squared end to clear the tooth of the ratchet that the inner corner is nowhere near in contact.
b) So there is a lot of lost motion before the inner corner makes contact with the face of X and pushes it up.
c) In the process, the square corner is going to gouge the face of the tooth.
d) The square corner is going to cause severe wear on the rounded outer corner of the tooth.
e) The lost motion means that the pawl will not have the necessary overtravel to keep the cylinder stop hard against the face of the notch on the outside of the cylinder as the trigger is depressed and the revolver fires.
In other words, a square end to the pawl is like mating an ACME square thread to a Whitworth nut - a recipe for fast, damaging wear.
So I find it hard to believe that the pawl is as it should be.
Test: If the pawl has the correct length, then it will slip into the notch of the ratchet with a light "snick" when the trigger is nearly fully forwards. About 1/8" from the end of travel - no more! The closer the better. If you hear this "snick" when the trigger is still noticeably depressed*, then the pawl is too short.
Try it and let me know the result.
*Just for fun: I guess it will be a 1/4" or more on your Mle 1873.