It's counter productive DURING cycle.

Not only are high levels of estrogen suppressing your LH during cycle, but now you're going to add even more estrogen via HCG which even further suppresses LH.

You want to stimulate your leydig cells with as little estrogen rebound as possible so your natural LH levels can come up.

Yes, I've used both methods, and there is no comparison, I recover much better using HCG post cycle.