Not even that. The Zen CPU in the consoles this time is more than enough for VR. The whole reason for the Pro last generation was the Jaguar CPU they shipped with originally was barely suitable for VR. Sony knew this and why they timed Neo to arrive not long after the launch of PSVR so there'd be an option that ran PSVR better. It had nothing to do with TV resolution or frame rates (remember the PS4 was hitting 1080p when the Xbox was hitting 720p).
Pretty sure this is wrong. The Pro CPU is just 33% faster but otherwise the same, while the GPU is more than twice as powerful. They needed the extra pixel pushing power more than anything, PSVR games on the original PS4 are generally very low res (and that's 100% GPU, has nothing to do with the CPU).