Well i can only offer a biased opinion. I have not been in a mini with the RE83 but i have the 731 in my current engine.
from my own research of this subject, the 731 cam is a very old design spec and the RE83 is a much younger spec. This means the development of its ability to derive power from your engine is better.
I have a 1098 bored to 1220, STD 12G295 head, pulsar distributor, 10:1 compression and a 45DCOE weber, LCB's with RC40 and with the 731 cam dialed in at 107 ATDC. this engine recently made 60 HP at the wheels (uncorrected) and i have to say it is quite torquey for its capacity.
it pulls hard from 2500-6000 and although it has a little lump at idle, it is still quite smooth compared to some engines i have seen and heard with non-standard cams.
as a few people have stated, the setup of the cam timing and ignition timing all contribute to how the engine makes its power from what you have. i also heard many stories of the 731 being a crap cam, and stories about it being a fantastic cam from guys who used the 731 cams in race engines for years and years, but at the end of the day, it comes down to what you want from it, how much you want to spend, and how it is all setup when you fit it.
in saying that, i almost binned my cam during my engine build and bought one of GR's, an RE13 or RE83, but for me it came down to cost, and i already had the 731 cam and it was in good condition.
good luck

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'66 BRG Morris Mini Deluxe 60HP ATW
