I don't have experience with a tarp tent but have difficulty seeing the point for my purposes. Depending on my type of trip, I gravitate towards one of two solutions:
A. On an extended trip e.g. months or more; I like a more general purpose solution with a few attributes: (a) good shelter from the elements (b) flexibility in how/where I pitch it including freestanding as necessary. In this vein, I took an REI Quarterdome 2+ for an 18-month trip across the Americas and also on a 4 month trip across Africa. I took a Hubba-Hubba for a 10 month trip including across Russia. I found these to be general purpose reliable tents - that while pretty worn after trip of 18 or 6 or 10 months, did the job.
B. On a shorter trip where perhaps a tent isn't my primary shelter, e.g. a week or so trip or a longer trip but with camping more as a backup; I can take something that does basic job of sheltering. Light and inexpensive are two useful attributes and needs to at least handle weather. For this a basic tarp or tube tent can fit the bill.
The tarp tents on that site don't quite fit the bill for either of these points. Either they are essentially enough like a tent - that I can evaluate them as tents - though seem to be on the expensive side. Or they come after my quick shelter idea in which case they seem both heavier and considerably more expensive than a basic shelter.
After wearing out my most recent Quarterdome 2, I picked up another that I took on a trip this past week. The new model is pretty lightweight, though unfortunate for my purposes "semi-freestanding" meaning one needs to at least stake out the back corners. This is ok for weekend and week long trips now, but when I go on another extended expedition, I'll pick a different model of tent.