It doesn't matter if you're taking EQ, TEST, Deca, Winstrol, whatever, if your HTPA is shut down then you must use Clomid.
I will add, back in the old days I did a few cycles without using Clomid. This was more out of ignorance then a plan, but I did still keep some gains from the cycles, but would have kept more with Clomid. I hope you're not considering this in an attempt to save the Clomid, that would be a very bad reason.
I don't know where you read an EQ cycle won't require Clomid.