The alternator rating is 37 amps/min at 2000 rpm and 41 amps/min at 6000 rpm. So, depending on what your current draw is while running compared to the charge rate we could be either over discharging the battery or overcharging while in use thus reducing the efficiency of the battery over time.
What however is not quoted is what the beast consumes - my experience suggests the engine will use those 4 extra amps and then some as low as 3500rpms - so the overall effect is LESS available amps for other stuff.
In theory OVER CHARGING whilst running is not going to happen - it's what the regulator is for. A proper battery tender continually discharges and recharges to prevent sulphating etc.
Batteries serve 2 functions.
1) To smooth momentary differences in supply and demand and also to maintain a near constant circuit voltage whilst running. You could do this with 1-2Amp hours more than happily.
2) But the main function is Starter. The Starter motor on an R3 (iirc) is 1.2KW. or nominally 12V*100amps. if we say we need 5 seconds - this is (on paper) - 500amp seconds. Way short of 20aH. Forget CCA it's an artificial number. It's true that cars have larger batteries and alternators - but as often as not to compensate for folk who leave lights on or the radio without the engine running. Bigger still on diesels where you need a BUCKET LOAD of watts to heat the Glow-Plugs before turning over. And even so it's shown that car batteries in sever cold can be just as reluctant to turn over.
Here's the thing - What matters is the WATTS. Not the amps or the Volts (for the starter motor alone).
But as you crank over the chemistry of batteries has to generate the power. Note that a bigger starter may well be necessary to turn over a higher compression engine - but also requires more battery power. Fatter cables won't harm - they'll reduce resistance to current flow. Good connections are naturally paramount.
Lead acid batteries TEND to try and push out amps in preference to maintaining voltage - this circuit voltage drops fairly fast and then the remaining electronics sense undervoltage and simply do not react. And as the voltage drops - the battery attempts to pump out more amps to compensate. It has to produce those WATTs.
LiFePO4 batteries try to maintain volts rather than amps - so as they drain they are not able to pump out amps to turn the engine.
I personally feel the failure to start in the cold may lie elsewhere like failure to spark properly or vaporise fuel adequately. Even if on a tender until seconds before you can hear a different firing sound from the intakes.
But the high volts from LiFePO4 and high amps from Lead acid in parallel seems to work.