Answer
Yes, Uruguay has glamping options, including a complex with Mongolian yurts. Four such properties are mentioned, so this is a real but niche part of travel around the country.
Such accommodation suits those who want to add an experience in nature to their itinerary rather than stay only in city hotels or apartments. Yurts and glamping are best treated as a separate stop, taking into account the location, road access, season, weather, and pace of the overall trip.
The main limitation is not the number of beautiful photos but the practical conditions. Road access, connectivity, heating, bathroom facilities, food, and the distance to the next stop on the itinerary matter, especially when travelling without a car or on a tight schedule.