In general this is my zvp
Open speedlings ---> harass probes (i can usually get around 5-8 probes depending on if they have stalkers or how far away their army is from their base) this is a good move vs. 4 gate because if they go true 4 gate and arn't building more then 1 or 2 zealots if any (I have seen people do nothing before 4 gate attack)
depending on success of speedling attack FE (or quick hydras + FDE if i see 1 gate core) which obviously 1 gate core = void rays 90% of the time, either way it means they are going for tech which gives me at least ~7 minutes before they will try attacking with like 7-10 voids (depending on their skill usually) by that time i have enough hydras and possibly mutas
focus on roaches / hydras after single fast expand after expo is fully running, macro time 2 cycles of larvae = attack, keep pressuring basically, usually after the first like 3 attacks i get a win.
I play random so i am curious to hear the protoss counter to this strat. It just seems that roaches and hydras counter the entire spectrum of units they can really throw at you. W/ upgrades they are a viable endgame as well.