The section of Footnote f in Aphorism 270 quoted above is in relation to Hahnemann's concern about using potentizing MACHINES that mechanically force too much energy into the solution because he felt they produced unsuitable remedies.

I feel it is a misrepresentation to suggest that this is purely a criticism of high Centesimal potencies, or that Hahnemann from the time of the 6th edition Organon had altogether abandoned Centesimal potencies in favour of LM's.

I have yet to review one single case of Hahnemann's where he suggested to start every chronic case with a 6C X 3 times a day with 10 good hard succussions in a rote manner.

I agree that the 6th edition Organon is primarily concerned with LM administration and that Hahnemann predominantly used Centesimals for acutes and LM's for chronic cases. However Hahnemann did not do this routinely or exclusively either. He always seems to me to more flexible than pedantic.

There is a case in Hahnemann's Lesser Writings taken 6 months prior to his death which shows that Hahnemann did NOT completely abandon his Centesimal potencies in chronic cases but APPLIED THE CENTESIMAL REMEDY IN A DIVIDED DOSE, that is, the same way in which LM doses are administered.

Here is a condensed version of the case.
January 14th, 1843.
O-t, an actor, 33 years of age, married.
In this case Hahnemann used BOTH the Centesimal and LM potency on the same patient.
"O-t, an actor, 33 years old, married.
History of frequent sore throats.
Present symptoms - sore throat with prickling sensation, feeling of contraction and excoriation on swallowing.
When the throat is not sore he suffers from violent excoriating and constricting pains in the anus, only with great difficulty can he pass a stool, swollen haemorrhoidal veins protrude.

Hahnemann gave Belladonna 30c in a 6 oz medicinal solution, one teaspoon into a 6 oz glass of water and gave a spoonful dose to the patient on January 15th.
The interesting thing is that he prepared the centesimal potency exactly the same way he gave the LM potencies.

January 16th, sore throat gone and the anal affections resurface with anal fissure.
Under Hahnemann’s questioning the actor confesses that he had contracted syphilis eight years before that was treated by caustics. This confirmed that he was treating a case of active secondary syphilis (which he was able to cure in 3 months!).
Merc. Viv. LM1 to the patient.
Hahemann - "Merc. Viv. one globule of the lowest new dynamization. (which contains a vastly smaller amount of matter than the usual kind), prepared in the same manner, and to be taken in the same manner as the Belladonna (the bottle being shaken each time), one spoonful in a tumblerful of water well stirred."

Hahnemann then repeated the dose of Merc LM1 and LM2 rapidly until January 30th when the throat became inflamed again.
Hahnemann then used a placebo solution for seven days until February 7th.
By then the anus was better but the sore throat was still lingering.
Hahnemann uses anti-psoric Sulphur LM2 and repeated the dose until February 13th.
Note that he uses LM2 as 'the lowest degree', not LM1.

February 13th Hahnemann returned to Merc. Viv. at exactly the potency he left off, LM2 in repeated doses.

February 20th, the sore throat is completely gone and the anus once again becomes inflamed and hemorrhoidal. Placebo for 13 days.

March 30th, the patient experienced blind piles that protruded at stool, but the pains were much better. He then gave Nitric Acid, not in solution, but by OLFACTION of the remedy. As well the patient was given milk sugar in medicinal solution as a placebo to keep his under control. According to Hahnemann " He remained perfectly cured".
Hahnemann used three anti-miasmatic remedies in this short period, Merc viv., Sulphur., and Nitric Acid.

This case demonstrates that Hahnemann was using both the centesimal and LM potency in chronic cases up until the end of his 50 years of practice.