As someone who works on design verification for modern CPUs, this is not true. Most modern CPUs use some form of TAGE branch prediction, if not something more complex.
Well, yes, but the complexity of TAGE is nowhere near the complexity of a modern deep neural network where you essentially have no chance of figuring out how its predictions are made. Branch predictors based on multi-layer networks, RNNs, LSTMs, or networks with more than a handful of neurons is a hot research topic, but has not, to the best of my knowledge, found their way into any modern cpu.
Yes modern CPUs aren't using neural nets in hardware or anything like that for branch prediction. I was referring to TAGE not being a simple state machine. That makes it sound like modern CPUs are just using a basic two-bit branch predictor.