When every other system in the market has equal or better specs for a similar price point, yep, it does matter. Granted, we don't know either of those yet, which is why they'll be a defining factor. Offering less than the competition at a higher or equal price due to production costs or hype factor can sink a console.
FPS is a mixed bag, but a subpar FPS equals a less smooth experience. Also granted, some genres of games are more lenient than others, but there's still a good share in which having a lower fps does affect your performance. A game struggling to attain parity between versions due to lower technical specs WILL have to either optimize the hell out of its code, or make concessions in order to run stably. Or both. If console A can run <game> at 1080p 60fps, but console B can only run it at 720p 30fps, unless console A has a rather higher price point, a majority of players wanting to play <game> will elect console A. In general, unless the game players are interested on is exclusive to your console, why would anyone purchase the product in your system instead of the one offering a better technical performance?
Having to invest on extra accessories, such as extra batteries or charging kits also ramps up the cost. If console A is offering its entire package for X and console B is offering a package for X-3, but you're charged an additional 10 on recharging kits or accessories to fully use its features, B's cost ends up being X+7. It might offer gaming on the go, but then each player has to ask themselves if that feature offsets the additional costs.
At that point, games available also matter. Nintendo has their own stable of IPs, and it's great to hear other companies are also jumping in, but unless those extra companies are jumping in with exclusives, not only amongst all consoles (and PC), but also within Nintendo's previous/current gen consoles, it once again comes to Nintendo to supply enough value in their self-published games to give the console an edge.
I've not been following any game other than the new Zelda, so I can't comment on how the other stuff's looking, but as I said, I'm personally not very impressed with what I've seen pf Zelda(even though I'm still planing to buy the Wolf Link amiibo just for the sake of having it on my desk), so at least in my case, specs and price tag are going to remain the swaying point on whether I'll buy the console or not, in addition to the reviews of said game.
I bought the Xbox 360 only for Halo Reach, and for one reason or the other, it remains the only game I ever bought for that console (even though I've played several games in it, they've all been borrowed from friends), so buying the Switch for a single Zelda, if that Zelda is good isn't really a problem to me, but I won't be spending 2.5x US pricetag on a console (yay for non-US markets!) if the entire thing is just good enough.
p.s. TFH on any console would be great! - We'd probably need to crowdfund specifically for that, though.
