It's not obvious to me that a hardware business manufacturing tpus for the general public is necessarily more valuable than one that benefits from tight integration with Google's internal software stack and datacenter tech
It's orthogonal: tpu doesn't do much marketing and doesn't have to. Engineers at Google will use it because they have to and because of the huge cost advantage they get for using it. TPU is probably lacking the libraries that Nvidia has developed to be accessible to a broad array of use cases