That could be possible, especially if the rumors of a port of
New Super Mario Bros. U come to fruition.
When reflecting on the release schedule in North America,
New Super Mario Bros. was released on May 15th, 2006. This was then followed up by the launch of the DS Lite on June 11th. Despite the gap between release dates,
Nintendo (as far as I am aware) exclusively marketed the game with the forthcoming system. Fast forward six years to August 19th, 2012, and we arrive at the simultaneous launch of
New Super Mario Bros. 2 and the 3DS XL.
If history is to repeat itself, a true refresh of the Switch's hardware would be another driving force that could aid in selling 20 million units this fiscal year. Perhaps that is why Nintendo is being undeniably keen on hitting their projections?