I'd say this is a semi-significant loss, especially in El Paso. I played BT twice, and thought it unique, especially for Fazio.
As a Northeasterner used to parkland, I find the scrubby ground in many parts of the West compelling, and I enjoyed Butterfield's meander through scrub landscapes with mountains in the distance, a historical mail/wagon trail in evidence, and screaming Southwest planes and border patrol blackhawks in the skies all around. To me, it just added up to a very El Paso golf experience for someone that only spends one day there per year.
As a piece of architecture, it seemed pretty darn good. It was strategic in places, and the jagged trending natural bunker edges fit in the the scrub much better than it would have in a more manicured setting. It had a good variety of holes, and nothing I can remember that offended the senses. For a site that is rather windy for much of the year, it was wide and forgiving, with plenty of room to miss, although you needed to skirt trouble to score.
My one story was that my second round there was the windiest sunny-weather round I have ever played. I was the only player on the course, and went out when it was easily blowing 40-50mph, with tumbleweeds rocketing through the parking lot, etc. The guy in the shop welcomed me to play, but told me it could get wild later and they would come and get me. It was plenty playable, although very very difficult. I enjoyed a few successes, like a birdie on #9, and a 50y wind-draw to 15 feet on the 225y 17th. On #18, 550 par five, I hit two good woods about 450y, and had about 95 yards remaining into a HUGE wind. I hit a full 9i, splash in the pond short of the green, then an 8i, splash, then a 7i...again balloon straight up, then splash. I think I did finally hit a waist-high shot that airmailed the green by alot. I went straight to the car!
Later that day I drove to Tucson, and all of I-10 traffic was diverted off-highway through every small town (think Radiator Springs, no Mater sightings though) due to sandstorms from the wind closing the highway. A 4.5 hour drive took about 7 hours!
Too bad it sounds like they had a plan in place to make the course permanent-ish, and now that chance is gone.