This is total bullshit, TI support is non-existant, the CC3000 is a security and stability fiasco, see this thread:
viewtopic.php?f=6&t=30&10
In particular, follow the link on TI's forum regarding the easy connect feature, this wil make your day!
One point on which I agree with you is the quality of TI's documentation, though.[/quote]
I have not used the CC3000 other than some simple quick tests so I cannot speak to the functionality of that part or series. In general my experience with TI has been rather good. They are not a company that focuses on DIY so I don't expect them to hand hold anyone who purchases a few of their parts. If you buy in volume you should be purchasing from a Distributor and through that distributor you would get support from their FAEs as well as inside contact to TI's engineers. Their e2e forums are also heavily visited by TI's engineers.
For me, the documentation issue is a real red flag warning. It's one thing to copy/use a design and sell to others and it's another to develop and manufacture a product. There are many posts on these forums with some basic questions about the functionality of the ESP8266 that should be answered with a proper datasheet.
Don't get me wrong, I like the part and I support it but that's far different than me producing a product based on it and releasing it in a commercial environment. Your experience with the CC3200 might be the exception to TI's support. It hasn't been that long since they purchased ChipCon and they were the ones that designed that series. I've used processors, regulators, audio DACs, and many other parts from TI over the years. I've always been able to get support, maybe not always as fast as I would have liked but I've never been ignored.
My experience may be different than others but I at least try to provide first hand information. The OP just asked for our opinions and what we would do and I did. I'm curious though, @martinayotte, @Squonk, ignoring whether this is TI vs Espressif, would you build and release a commercial product based on the ESP8266 modules?