I suspect that it depends on quality. Phil Wood cartridge bottom brackets have an excelllent reputation for reliability but so do Campy cup type bottom brackets if given even close to reasonable servicing and installed with a guard. I have seen a TA which failed due to being cyclocrossed, installed w/o a guard and given inadequate service. Dirt intrusion ate the spindle.
Getting back to the OPs question the parts are different generations. Cottered cranks went out as cartridge bottom brackets were first coming in with little or no overlap that I am aware of.
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