That is a direct relationship (a better processor will give better performance).
It also depends on your ISP speeds too (they may be capping your performance, instead or only, the router).
If you can test your VPN connection on the fastest (desktop or laptop) computer you own and compare it to the (rather weak) VPN performance the single core 600MHz RT-AC66U gives you, you'll get an idea of how much a newer, more powerful router may help.
If you do find you have good/great ISP speeds and a new router is in order, the RT-AC1900P (a Best Buy exclusive, right now) is your best bet. It features dual core 1.4GHz processors (a nominal 225% faster than your unit, plus dual core too) and you can use the excellent RMerlin firmware on it too (use the firmware for the RT-AC68U models).
All older Asus AC1200 (or better) class routers than the RT-AC1900P will get you increased VPN performance over your model too, but the best bang for the buck right now is the 'AC1900P from BB.