"Abolishing" DST means that there's no longer any PDT, just PST, MST, CST, EST... But abolishing DST while desiring to move to "summer time" just means, in practice, shifting the state from PST to MST.
I’m not a lawyer, but from my reading of the respective regulations and the little case law that exists, I believe California has the legal authority to elect to move to Mountain time.
That article goes into a long history of the interplay between state and federal authority in terms of time zones - most of it Indiana acting within the bounds set by congress or petitioning congress to give them exemptions.