Jax has a harsher learning curve than Pytorch in my experience. Perhaps it's worth it (yay FP!) but it doesn't help adoption.
> They don't really use pytorch from what I see on the outside from their research works
Of course not, there is no outside world at Google - if internal tooling exists for a problem their culture effectively mandates using that before anything else, no matter the difference in quality. This basically explains the whole TF1/TF2 debacle which understandably left a poor taste in people's mouths. In any case while they don't use Pytorch, the rest of us very much do.
> P.S. Google gives their tpus for free at: https://sites.research.google/trc/about/, which I've used for the past 6 months now
Right and in order to use it effectively you basically have to use Jax. Most researchers don't have the advantage of free compute so they are effectively trying to buy mindshare rather than winning on quality. This is fine, but it's worth repeating as it biases the discussion heavily - many proponents of Jax just so happen to be on TRC or have been given credits for TPU's via some other mechanism.
TPUs very much have software support, hence why SSI etc use TPUs.
P.S. Google gives their tpus for free at: https://sites.research.google/trc/about/, which I've used for the past 6 months now