This is not unlike oil discussion threads. Will be a lot of opinions.
Now, there may be more than one type of "Lithium type" batteries on the market.
Personally, I have used SuperB LiPoFe batteries for years on various bikes without any kind of issues, except for one voltage regulator failure.
Super B2600 on a RD350 with Powerdynamo (Vape) PMA/CDI
Super B2600 on a somewhat modified Suzuki GN125 with stock PMA/CDI.
Super B5200 on a 1995 Ducati M600 with stock PMA charging system.
Super B5200 on a 1977 XS650 with completely stock charging system.
Shorai on a 1997 Ducati St2. Voltage regulator failed on a German Autobahn, and cooked the battery. The lid came off, and it smelled funky, but not close to catching fire.
Unknown battery on the ST2 after a new regulator was fitted. No more problems.
Based on the above, I definitely will continue using LiPoFe batteries. On the Ducatis, the weight saving is a whopping 4.5 kg or 10 lbs. No problems starting even the fuel injected, high compression 944 cc V twin in the ST2.