Correct, they are totally two different testing methods. However, what we have are "tools" to use and right now SAAMI has published data for both CUP and PSI for the 44-40. That would be that SAAMI tested the same batch of test ammo in both the CUP method and the PSI method. SAAMI published 11,000psi map for the strain gauge method and 13,000cup for the copper crusher method. With that we can do basic math for reasonable results for this cartridge only. So...
within a single chambering the conversion by the ratio of the CUP and psi maps within the SAAMI system is going to be close enough for practical work. That is, 11000 psi divided by 13000 CUP is 0.846 psi/CUP for the 44-40, so you can take the CUP numbers in the Lyman Manual and multiply them by 0.846 to get a reasonable expectation of psi. Conversely, dividing psi by that same number will come close to CUP." Again, this is ONLY for the 44-40 for close proximity measures.
There are more tools we need to do this reasonably and that would include RSI's PressuretraceII strain gauge system and a cartridge with a known honest published pressure. Buffalo Bore manufactured a 44-40 load that they claim is right at or or just below SAAMI 11,000psi/13,000cup max pressures.
SAAMI 44-40 Pressures, CUP on page 33 and PSI on page 45:
SAAMI 44-40 MAX Pressures
With all of these tools, we use the Buffalo Bore load as a "control" and test all other loads and see where the data falls. That has been done and all of the data falls in a consistent linear line from 1880's replicated loads to modern factory loads as well as modern published loads by Lyman. So if the Buffalo Bore data is incorrect, all corrections must be made equally, high or low, for all other loads. Also note factory loads seem to use a safety buffer of 10% to 20%.
This data can be seen here:
44-40 PSI/CUP Chart
As well as here:
44-40 Black Powder Pressure Tests
(Check the tabs at the bottom of each page for other tests results and information)
Videos explaining this data can be seen here:
Videos (make sure you watch the black powder video)
Here is a brief chart that shows some of the results.
The colors represent three chamber pressure ranges,
Green - normal loads
Yellow - Exceeds SAAMI map loads but loads used during the 1930's
Light Red - 1903-1938 44 Winchester High Velocity Pressure Range to 18,000cup
Dark Red - exceeds HV service pressures of 18,000cup as well as some test loads exceeding the HV Proof Pressures of 22,000cup.
Of course, the below information is not to be used as load data.