My buddy runs s23 @ ale temps all of the time but I don't think it ever reaches 70F. He crashes and lagers normally however I don't think he classifies his beers as 'lagers'.
I am still not sure that my palate understands the difference between ales and lagers. I have a disorder known as 'dumb palate'. I guess I would have to do two identical batches with an ale yeast and a lager yeast for comparison.
Lager is a type of yeast. Lagers are generally made with lager yeast. A common characteristic of beers called lagers are clean fermentation (no fruity ester flavors, diacetyl, fusels, etc).
You can make a very clean beer with some ale yeasts. Some breweries do this and call the beer a lager. That's OK if the beer is clean and otherwise tastes like a beer in one of the lager categories.
For this thread, the chief characteristic of a lager is a clean fermentation free of esters, diacetyl, fusels, and other off flavors.