That is quite plausible. As there was a Wii Mini. The Wii Mini was quite the opposite of this though. It was disc only and totally no internet connectivity at all.
Online really wasn't needed to enjoy the "Wii Experience", and only a few games really used online well. The Wii U however, has many games that near require online, and is considered one of their biggest features. Games such as Smash 4, Splatoon, Mario Kart 8, Xenoblade X(Which its development was changed solely for online), and Mario Maker. Not to mention, a ton of games rely heavily on game updates and DLC like Hyrule Warriors, Pikmin 3. This doesn't even put into consideration their reliance on "Nindie" games, and their overall push for the Nintendo eShop. All retail titles are available online as well, making a disk drive heavily unneeded for those with good internet(As an option of course, they can still buy regular Wii U's). Without that Blueray disk drive... They could probably drop the prices of these "Wii U Mini's" to $150. Making it a very cheap console, so that many people can buy them as secondary consoles. That way, they can proceed to push Wii U titles, make MORE money on the games themselves(Since 100% of the money from digital retail games goes straight to Nintendo) to cover more development costs, and push the NX at the same time. This is a move that may make me actually believe their 3rd pillar nonsense they spouted during NX's first whispers. That way, they do not need backwards compatibility, to sell more Wii U's when the NX comes out if they are still supporting both consoles at the same time. Hell, with the money they save on getting rid of the Blueray disk drives, they could probably bundle in 2 systems together for $300-$400 even when the NX is as powerful as the PS4/XBOne. This could create more opportunities to players as well. Possibly, for the NX, they may have a disk drive system, and an all digital system as well. One for being cheap, the other for physical copies. I think this is the best of both worlds, especially when reaching to a casual audience. Almost all casuals have their smart phones, and they like the fact that they can buy games on a whim without having to drive(I am sure game studios love this as well).