What do they do different?There is no such thing as a "high bandwidth HDMI" cable. What you need to look for is "premium certified" and "high speed" with the orange logo. Like the below cables.
http://www.monoprice.com/product?p_id=15428
What do they do different?
Capable of delivering 18Gbps bandwidth
To this end, the main change in HDMI 2.0 is improving the per-channel bandwidth from 3.4Gbps to 6Gbps, allowing for higher-resolution audio and video to be transferred.
HDMI 2.0 and above cable is different from HDMI 1.1 or lower. In fact even HDMI 2.1 cable is going to be different from 2.0b.
Not sure why he worded it that way, when the difference is that yes, those cables do in fact offer the "high bandwidth" required by HDMI 2
Does it matter if I use the display port connector or hdmi connector out of my 1060?
I word it that way because that is the exact marketing terminology in the spec. If you are looking for legit cables then you need to look for the appropriate word usage. There are a gazillion cables out there and most of them have made up their own BS marketing to claim supporting various things. eg 4k high bandwidth cable. High speed premium certified is the most capable and highest quality cable you can currently attain.
Ahh if you are buying an HDMI cable you use the HDMI port....
Sorry I call BS. If they needed to be 2.0a cables in addition to being "High speed premium certified", then "high speed premium certified" would need to be its own standard. Like 2.0ax or something. Because high speed premium certified is not a standard endorsed by the HDMI standards body, we can safely that high speed premium certified is in fact one of those BS marketing things you have just mentioned.
A cable is either a 2.0a cable or it isn't. It's either a 2.1 cable or it isnt. There isn't a 2.0a and a 2.0a high speed premium certified.
EDIT: Also look at the bandwidth requirement in the spec for 2.0. 18 GBit/s. In other words, for a cable to be rated 2.0 at all, it must be capable of 18 GBit/s bandwidth.
EDIT 2: Interestingly, I was wrong, and high speed premium certified cables do exist:
http://www.hdmi.org/manufacturer/premiumcable/faq.aspx
However, reading that site, it is clear that the certification program is anti counterfeiting, nothing else. A high speed premium certified cable is no better than a standard cable. It is just certified to be what it says on the label - nothing else.