So it is mostly true. They may only charge 80% to avoid damaging the battery, but the reason behind that is because fast charging can in fact be very bad for batteries, the whole reason they stop at 80% even according to you. So to say "that's just not true" is actually a blatant lie. It is in fact very true if what you say is really how it works, but they've found a way to minimize the risk. I'm sure even stopping at 80% isn't terrific for your battery, just not as bad as it could be. And even then, is only ever charging your battery to 80% every time really that good for it? I feel like you'd need to charge it up to 100% most of the time, but in real world usage that's probably almost never the case.
No... forcing a battery to charge outside of it's optimal range can be bad for it, but isn't automatically bad for it. They don't STOP charging it at 80%, they just start charging it at a slower rate. The fast charge takes it to 80% in 15 minutes, but then can take another 30 minutes or more to charge the remaining 20%. Saying that fast charging a battery will destroy it is not true as a general rule.
Its like saying "reving your engine to the redline will destroy it". Running it at redline for an extended amount of time will definitely hurt the engine, but it is specifically designed to run up to redline before you shift and if used properly wont damage the engine at all.
There is an acceptable range to charge a battery, depending on the battery design and chemistry. The region of the battery capacity that generally takes a charge the fastest is from about 20%-80% capacity. If you try to force a battery to take a charge quickly outside of that region, there can be other consequences that may or may not damage the battery. The most efficient, and best, region for battery longevity and for the battery charge to be at is that same 20-80% range. Leaving one of these lithium batteries at a charge either higher or lower than that range can severely negatively affect their life or damage the batteries. Charging up to 100% and then immediately driving it until it gets down to 20% and then charging again isn't bad for the batteries, but it is a huge waste of time. You take twice the time to get 1/3 the charge.
You save a lot more time by only charging up to the top of that high-efficiency region and then driving to the bottom of that region before doing it all over again and it doesn't hurt the batteries.