I stand corrected; doyo pinions are dual supported in some manner, just not by two bearings sitting directly on the OD of the pinion. I am not contending that the spool shaft, which is itself fitted with a bearing, does not support the pinion. In that case, any reel with a long spool shaft and a spool bearing would have a pinion that is "dually supported by bearings." AFAIK, the general connotations of "dual supported pinion" and certainly "dual bearing-supported pinion" mean a pinion that is directly supported by two bearings on the pinion's OD, one on each side of the pinion. That's what shimano means regarding "dual pinion support," per their x ship technology, and that's the definition of that I've come accustomed to. Not merely one bearing support + the support from the long spool shaft.
If you're counting reels with a long spool shaft and a spool shaft bearing as being reels with "dual supported pinions," then shimano pinions with x ship are triple-bearing supported (one handle sideplate bearing + one bearing where the bushing on the lew's exists + the long spool shaft/spool bearing support you talk of).
I have taken apart my lew's custom lite right alongside my metanium and the lew's clearly lacks the second, OD pinion support bearing that is known as "x ship" on shimano reels. Instead of using a bearing in that location, doyo uses a bushing. Whether doyos are dual supported by a particular standard (if counting the spool shaft bearing as a second bearing support), a "dual bearing supported pinion" connotes a pinion that is supported by two bearings that sit directly on the OD of the pinion, one on each side of the pinion. Doyos clearly lack that second pinion-support bearing.