Most likely will not return...
I would think that anyone who runs a successful hotel would know that the front desk person is the face of the hotel to anyone who is arriving. The front desk folks were just... well... kind of blah. Actually, they were almost condescending. I like to feel welcome and made to believe that they are happy I am there but that did not happen. And this was the whole three days. 'Not a smile within a mile!, I had a groupon deal and showed him the wrong code. He just said that's not the right one and went back to doing whatever it was he was doing on his computer. I asked about a restaurant the following morning and got the name slightly wrong; I was curtly corrected. The whole ambience of the front desk/lobby was just kinda snooty. 
Other little things added up to a not so exceptional stay:
The sheets would not stay tucked in (I hate waking up during the night and having to retuck the sheets). They were too small.
The carpet was wrinkled up in several places in the room.
The room had a mildly mildew smell (not overwhelming but just unpleasant when you first entered).
The TV remote would not turn the TV on/off. 'Had to do that manually.
The lamp plug-ins and our phone chargers kept falling out of the wall sockets ('don't know what was up with that).
It cost $30.00/night fo park and valet parking is the only option available. I know this is a trend with downtown hotels but $30/night is dang near highway robbery. There might have been a parking garage in the area but we did not check it out.
This is an historical hotel and generally we love to stay in the older hotels but it felt like perhaps the Menger is resting on its laurels these days. We stayed here many years ago and had the most amazing, wonderful stay. That's why we booked again.
Other stuff:
The rooms are very small (but to be expected in historical hotels)
The a/c was cold! (A good thing in Texas in August.)
The location is wonderful. Its right across the street from the Riverwalk and next door to the Alamo.
Real glasses (not paper cups) but they are VERY small.
Coffee maker in the room.
The cleaning staff were wonderful and accomodating. I asked to exchange a decaf coffee packet for a regular and she gave me four regular (for the next day, too). She was smiling and welcoming and just plain nice (maybe they should put her on the front desk).
Strong shower pressure and the tub drains well (just one of those little irritations if it doesn't work).
If I were returning to San Antonio anytime soon I woud not book the Menger Hotel again. I might add that a pleasant, welcoming staff will often cover a multitude of sins but when you don't feel welcome those little things add up real quick.