The 'guide' for 35mm, comes from notion that the more 'magnification' you have on a lens, the faster the shutter speed you likely want, hand-holding, to avoid blur from camera or subject movement, being like-wise magnified in the frame. So it's a guide, in so much as it really depends on your subject and how steady you hand-old the camera...
eg; shooting kids in the garden with a 50mm, you might struggle to stop the little blighter's blurring even at shutters over 1/125th, when 'guide' would suggest you could go as low as 1/50th.
Alternatively, with a steady hand, taking a shot of a bit of architectural detail with a 135mm tele, you might get away with something as low as 1/30th if your hand is steady enough....
Not seen it mentioned in reples vis zoom; but question used to pop up in the mags often enough in days past, as to how to apply the guide with a zoom, and whether to use a shutter speed = or faster than the focal length 'set' on the zoom, or a shutter speed faster than the shortest or fastest focal length of the lens... answer was usually to 'tend' to err towards a shutter above the longest focal length of the lens, even if you are shooting it at a shorter setting, due to the length & weight of the lens effecting how steady you might had-hold it.
Eg; if you are shooting a 70-210, you might get away with a shutter as low as 1/50th at the wider end, but more reliably you'd be better off shooting at 1/250th, even if set at 70mm, due to the bulk of the lens and the ;leverage it has when wobbled.
That advice was increasingly appropriate with longer reach zooms then, even though they often only had about 3x zoom range; these days, with zoom ranges often in the 5x or more region; plus frequently longer still than an old 'long' lens that would seldom be much over the 180-250mm region, a long lens now more usually 300+mm, and used on a crop-sensor body giving the effective reach of an old 500mm or more mirror, with the crop-factor, the suggestion is probably even more useful; for all multi-element constructions, greater use of plastic and such may have done to make modern lenses more compact than their effective focal lengths, an what benefit Image stablisaton might offer, adding that and focus motors and everything else into them, hasn't made them that much more 'stable', IMHO.