The flip side to that argument is that fabricated bandsaws (i.e. the majority) will tend to bend over time if a wide blade is left on at full tension all the time - that's according to a Centauro rep I spoke to on Woodmex many years back.
If you have a 1-1/4in thick-back TCT blade (like our resaw blade) on the bandsaw that can put sufficient tension on the frame to distort it over time if fully tensioned. Distortion is much less likely to occur with cast-iron bandsaws like the Wadkin BZB or White SH, for example. Maybe a point to make here is that almost all small bandsaws are physically incapable of exerting the ideal tension specified by the blade manufacturers to achieve the optimum beam strength - all the tension gauges I've ever seen on saws are all but useless (that includes my two bandsaws both of which are "highly optimistic") which is why I use a Starrett blade tension gauge. And the amount of tension you are putting the frame under will also vary depending on the width and thickness of the blade. But think the biggest argument against leaving the tension on all the time is that it does tend to cause flats (or for very narrow blades, grooves) on the tyres in the long term. If you have never bought a secondhand bandsaw you may never have seen this.
If you look at the structure of a blade there is a harder more brittle section of the blade at the weld and this will be much more likely to break in use than the rest if the blade. The brittleness of the weld becomes more of a problem on smaller bandsaw wheels as the blade flexes and straightens more times every minute of operation than on a big saw. My experience of small saws (14inches and below) versus larger ones (i.e. 20in and above) is that you get more breakages on small saws.
Incidentally I tend to turn the tension down at the end of the day, but I don't get many breakages (last one more than 3 years ago - never had a bimetallic, stellite or TCT blade break yet - only carbon steel).
Scrit