There are several factors that need to be considered to answer this question and in many ways the answer boils down to "it depends".
First, what are you referring to as "life"? Top flight accuracy for competition or shooting soda cans in the back yard? That alone can vary the round count "life" significantly.
In addition, the quality and hardness of the steel makes a significant contribution to the lifespan of the barrel. The purity and production standards of modern steel has certainly improved along with the custom blends that are used by some barrel makers that deviate slightly from the standard 416R cocktail.
As always, barrel care plays a major role as this is where many barrels are abused and lifespan is significantly reduced. The .22 rimfire has always been hard on barrels primarily in the chamber and leade areas due to the abrasives that are in the priming compound. Over time, different ammo manufacturers have used different blends with some appearing to be more damaging than others. Unfortunately this aspect is difficult to quantify. Throw in bad cleaning methods - or not cleaning at all - causes it's own share of deterioration.
With all of that said, for a match grade stainless steel barrel I would tend to agree with 125k to 200k range, unless it is a Lilja - due to the soft steel used I would max out top accuracy by 75k rounds.
While the numbers I mentioned above are a discussion point, one also has to remember that to top flight competitors, barrels are like the brake pads on your car - a disposable item when they wear out. Again, the never ending pursuit of the ultimate "hummer" barrel is never ending.
Regards,
ken