Third camp reporting! Here's my take (as a Bose product user):
1) Bose QC-35 II headphones are a hazardous product that, in at least one instance, has spontaneously burst into flames and caused chemical burns while being operated according to the manual
2) This product does not come with appropriate warnings[0] that this is a possibility, while, according to comments here, hazards of the battery used are common knowledge among engineers
3) The product's manual instructs the user to take the headphones off if they experience a "warming sensation"[0], indicating that the engineers were aware of the risks, but neither the risks nor mitigation were not described in the instruction manual (compare this with the labels on something as common as epoxy resin)
4) The OP should report this incident to CPSC (as they did[1]!), since this is the body responsible for keeping track of such incidents and that will be able to act upon them if there's a pattern of them happening
5) The medical injuries sustained by the OP are unacceptable; and at the very least, Bose should pay for the medical treatment and resulting productivity loss, as they occurred at no fault of the OP, who trusted Bose's device to be safe to use as described by Bose. (Reminder for our friends outside the US: we don't have universal healthcare)
6) There needs to be some incentive for companies to ensure the safety of their products or actions. In the US, this seems to be (punitive) damages, whereas in Europe it's more through stronger regulations.[2]
7) If the OPs report is true, I also hope they sue Bose. It is important for all of us - people who use Bose products, their roommates etc - that they thoroughly check this incident and make sure it never happens again. They will not do it unless it costs them money and bad publicity.[3]
Please let me know what's so radical about it, as many people seem to get angry about it.
And fully with you regarding treating others with respect (particularly, it's sad to see the OP being called "hypochondriac" and their concerns dismissed as "paranoid"). It is, as you said, unbecoming.
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Disclaimer: I love my Bose SoundLink Mini II speaker. I bought it, for myself, with my money, which was fully worth it. IMO, it sounds better than any other speaker of the same size that I tried.
That doesn't excuse this situation happening, nor how Bose handled it so far.
[0] Bose QC-35 II manual: https://assets.bose.com/content/dam/Bose_DAM/Web/consumer_el...
[1] As per https://news.ycombinator.com/item?id=29602614
[2] In the words of https://news.ycombinator.com/item?id=29603800
[3] In the words of https://news.ycombinator.com/item?id=29603321