Nah. It'll be fine.
For the most part, people buy Nintendo systems to play Nintendo games. That's the main attraction. Sure, there's been some notable third-party successes on Nintendo platforms over the years, but the list of best-selling games on Nintendo systems since the turn of the century has been dominated by first-party titles. Nintendo has seen more successes than failures, and the failures they have had are explicable in terms other than "Major third-party title wasn't present."
The Wii did exceptionally well, selling over 100M units (only the third home console to do so) and outselling its main competitors by a healthy margin, and it did so without GTA, Final Fantasy, Assassin's Creed, Far Cry, Batman: Arkham, BioShock, several COD games (the ones it did get didn't sell nearly as well as they did on 360 & PS3), and a whole host of other third-party games popular at the time. The DS became only the second system to sell over 150M units despite the only big third-party games being Dragon Quest IX, Lego Star Wars, and the Professor Layton games. The Switch succeeded with only two third-party games in its Top 25 most popular games: Monster Hunter Rise (#24) and Stardew Valley (#25). It didn't get COD, Red Dead 2, Cyberpunk 2077, Final Fantasy, Elden Ring, and a bunch of others.
Though the Switch 2 is getting belated ports of some of those PS4/PS5 games I mentioned, I'd argue that it doesn't need them to succeed, nor does it need GTA6 or any other big multiplatform third-party title. Those things are nice to have, but I'd argue they're not integral to its success. Arguably since as far back as the N64, Nintendo systems have stood or fell on how well Nintendo supported and marketed their systems. With the Switch line in particular, Nintendo has always had the handheld console market on lock. And they've been generally doing their own thing since the Wii anyway, so they need to do more to be like PlayStation or Xbox. The Wii U was their sole flop in the past 20 years, and it failed because of bad marketing/messaging and a severe first-party software drought in its first year, not because of a lack of major AAA third-party titles.