Short answer not as long as Nintendo will release a new gen mid current gen, while the console is under powered, compared to Sony and MS is console. The Switch will probably receive a decent amount of third party support at launch. But big titles like Mass Effect and the new elder scrolls will always be played more on PS and Xbox, because A The games will run better or/and more beautiful on these systems.
B The people who want to play third party titles have abandoned Nintendo home consoles since the GC era.
C The Nintendo Switch will primarily be used as a handheld or a secondary console which is purchased mainly for the Nintendo exclusives.
If Nintendo is going to release a console on par with what PS and Xbox offer in the same launch window that might change. But as long as those consoles are vastly more powerful and released earlier I don't think many people will switch from them to a Nintendo console for third party games.
Please excuse my (probally) poor grammar
