In this case, if you can't buy phone insurance (the product you would buy from T-Mobile) from Lemonade, they are not competitors.
Does anyone know whether T-Mobile sell THEIR insurance or they act as brokers selling someone else's insurance (e.g. Allianz, AXA, etc.)?
I also wonder the % of revenue of T-Mobile from insurance Vs their other business lines.
(I don't really wonder)
T-Mobile does the same. So in that way they're no different than any other type of consumer insurance company.
So as I said, unless you sub-divide the insurance industry on arbitrary lines, they are both selling insurance to the consumer. Claiming that because it is only "extended warranties" (which it isn't anyway) isn't really a legal argument for trademark law. We're talking about markets here, they're both in the insurance market regardless of how you frame it.
I mean we are actually discussing “T-Mobile isn’t a mobile carrier, they’re an insurance company”.