I personally dont think it's worth taking the risk on a jellybean like OP-07, but I will admit to taking a punt on more expensive or obsolete components. Particularly for the latter, eBay may be one of the only options.
So far I've mostly stayed away from China ebayers for ICs, unless I can tolerate the risk e.g. I bought a kit of generic DIP ICs including a number of op-amps, just for playing around with. I wasn't really bothered about fakes - in fact discovering the fakes would add to the entertainment value of the kit. As it turns out, going by slew rate, the LM358/324s were unsurprisingly a good match for standard parts, and I seem to recall that the 741 was a good match too. The NE5532 was obviously fake, but interestingly it was not a repackaged 358. It was more like a 4558.
Maybe a video on how to quickly check if an op-amp is genuine would be useful? The slew rate test I used is dead easy if you have a suitable sig gen and oscilloscope, and one is looking at lower speed op-amps, but there are plenty of other parameters which may be worth looking at. For op-07 the offset voltage would be the obvious choice.
Off topic, so far I have had good luck with resistors from China suppliers, and salvaged parts also seem legit (e.g. lm399s, OCXOs by the handful).