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Different cans of worms here. I have a Yuasa lead acid battery on the blade, but I delved into lithium with my ZX12R which suffered from overheating the actual battery itself. The battery was located inside the frame right behind the engine, where if it was hot and the bike sitting or moving slowly through traffic, chronic heat soak occurred. Often, in city traffic if I stalled the bike, it wouldn't start until it cooled down, which often took 20 minutes or so, but then it would start on the button. Nightmare! Lithium ion batteries are supposedly much better at operating in the sort of temperatures that were happening here, so I switched over. Unfortunately I sold the bike before I really gathered a lot of experience with it, but it had seemed to have solved it.
From what I've read though, lithium batteries will take very large charging rates, so it puzzles me why some of the voltage reg/recs aren't suitable, unless as you suggest they might not take the ripple.
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Picard
Airhead
I'm actually finding the opposite. It's only happening at maximum speed on open roads. I guess due to the higher output of the alternator at constant high speed. The BMW R80 charging system has books dedicated to understanding it though.
Most of the finned reg/recs aimed at retro fitting on the R80 specify not suitable for lithium batteries. I'm sure manufacturers are covering themselves and they may be better than existing but it seems they need to be operating in a small range of output voltage to work with lithium while also having very small amounts of ripple.