'High speed' is a
marketing term and has no meaning. It's kind of like tacking on 'deluxe' to a product name.
There are category 1 and category 2 cables with category 2 ensuring that you get full 1080p and I'd assume that Monster's 'high speed' cables mean they are certified to be category 2. The catch is that over short distances, even category 1 cables should be sufficient.
I am using a single HDMI cable that came free with my AV stand. It looks real pretty and is branded 'Z-line designs' (the manufacturer of the stand). There is no mention of category 1 or 2 on the cable, only HDMI 1.3. I think it's well made and looks to be roughly equivalent to other low price cables I've seen.
It hasn't failed EVER.