tumblers are also used for a lot of different styles and drinks where as a shaker pint glass isn't
This is opposite of truth. Shaker pints, in America, as well as much of Europe (though more frequently Nonic-style and larger than 12 oz), are a frequent catch all for many styles of beer in general pubs, and you will much more infrequently find footed or stemware unless in a specialty beer bar that know to serve in proper style glassware. Geuze tumblers are much more frequently sequestered to lambic and other wild ales, and occasionally used in other farmhouse ales like Saisons or Grisettes.
Go to 90% of bars or pubs in the US, UK, Italy, Spain, Germany (admitted mug/stein popularity), and many other major European country and you'll find the majority of beer glassware to be shakers and nonics. You aren't going to find British cask ales, German lagers, American Lagers, and many other smaller European regional styles (Czech, Italian, etc.) in anything with a stem, and certainly not in a Geuze style tumbler.
Try naming 10 bars in the top of your head that you can even specially ask for a Lambic/Geuze tumbler, excluding Wild Ale or Lambic brewpubs or brewery tasting rooms.
The other problem is that the term "tumbler" is a vague term. In the beer community, it almost exclusively refers to a smaller, non-footed, often times angular cut sidewalls, and produced almost only by wild and spontaneously fermented brewers and breweries. The term tumbler is also often used for
whiskey glasses, and
can really suit a broad variety of glassware in general, even making it hard to differentiate from a Shaker pint in many cases.