See now I would've thought this remix is techno-ish. Or does Trance fall under the larger umbrella of Techno?
I would say that it falls into the same category as techno in as much as Nirvana falls into the category of Rock. I won't say that the two genre's won't intertwine at times, because they will.
Some folks will lump House, trance, and even Acid Jazz into the Techno category because they all have certain similarities, especially in the early days. In the late 80's and early 90's techno covered House music to a certain degree. Frankie Knuckles is probably the father of techno and House music today is probably the closest, more relating to Disco than anything. But shortly after that when House, Trance, Breakbeats, and drum and bass got big, Techno as a genre sort of became irrelevant unless the music just couldn't really fit into another category. The branches of electronic music became extremely divergent into the late 90's. Historically Techno is that father of many of the different genres of electronic music today. There is very little pure techno these days.
Electronic just over the years hasn't been pouplar enough for people who really don't listen to it to lump many genres into "Techno" when most who listen to various forms, would say that "electronica" is probably a more accurate label to encompass all forms of it.
The trueist form of Techno I'd say being spun today is Carl Cox. Sasha can spin some pretty close to techno stuff too. Progressive Trance is really close to techno as well, but fundamentally the biggest diffence is that it has ups and downs where Techno is more nuanced and doesn't have a big lead up in it like progressive trance typically does.
This is the closest thing to pure techno around. And those who really dig techno will argue that Trance, House, and other forms are very different than Techno.