Yeah, this might be a case where the hacking scene has made Nintendo reconsider some of the things they include, including a web browser, where we'd have far more potential of finding vulnerabilities. Thing is they must be aware that there are far more ways to get an exploit running than just a web browser. Beyond that, look at the sales of the 3DS and the original Wii, these two systems were heavily exploited, yet they still sold fantastically well, conversely, the Wii U was only very recently hacked wide open, and both prior and after getting hacked, it made no difference, the system sold very poorly. So if Nintendo truly believes that stopping exploits before they happen is what will guarantee them the most profits, I'm really not so sure about that.
As a portable, I wouldn't care if the Switch didn't have an internet browser, I have a great smartphone on me at all times that I readily use to browse the internet. However, as a home console, it is a bit of a bummer (if its true), i use the browser on my Wii U all the time, I love to use it to watch cartoons and anime on Kisscartoon and kissanime respectively. On the other hand, utilizing a browser on your TV without a gamepad for navigation would be so infuriating that I likely wouldn't use it, which is exactly what has happened with my PS4, yeah it has a browser, but I never use it because navigating it with a standard PS4 controller is a nightmare.
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Well its not so bad, mobile would be completely optional, where you can still always connect to wifi at no fee. Which is what I'd do regardless, if I want to get a mobile connection on my Switch, I'd turn my phone into a mobile wifi hotspot so that I don't have to pay for another device on my monthly mobile bill.