Probably not, even at stock speed, but you can always OC it if you find that it does. And the 3770K wouldn't be any better. HT wouldn't help a bit in that situation.
Do you think that HT will become relevant / utilized by games 2 or 3 years from now? Even while there's no such thing as future proofing, I'd still like to be able to hold off for the next tock and 2 more ticks before even looking for a new processor.