Better than those games? Wii U had those games. And Bayo 2 and Hyrule Warriors and SM3DW and DKCTF and will have 3 Zelda games by the time Switch comes out (Unless BotW is delayed)

You can't use remastered past gen games as your ammo for a new console. All it does is show that the library is padded with fast cheap and easy remasters to look bigger than it is.

That is not what they said.
They said they look at each title individually, and see if the hardware (and audience) of the console is a fit for what they are trying to do.
It was the interviewer who gave Xbox One's performance as an example. To which Bethesda said "then we would consider it". He would have said the same if the interviewer gave PS4 Pro as an example.

Here are the actual quotes:

1.) “It’s definitely something we will look at; and our philosophy is that we will put our games out on any format that supports the games as we envisage and make them. If the NX fits that from a technical standpoint, and fits the game that a developer in our stable is making, I don’t see why we would not put it out on NX. But it’s too early to say, ‘we’ll definitely be putting games out or not.’ Like with mobile, we want to have the right fit for the right formats.”

2.) [So if NX is announced in the next few weeks and is as powerful as an Xbox One or higher, then…]

"Then it will absolutely be something that we consider. Okay… let’s say they come out and say tomorrow it does X, Y, and Z. Well, Dishonored 2 is way down the road, it’s not in the conversation. But anything that is in development, I think we’d take a look at and see if technically does it line up with what they’re doing?"

Keep in mind that the game in question here is probably Skyrim Remastered. An enhanced port of a Gen 7 game.
If the Switch can handle it, they would consider it. That does not mean that they plan on making their next current gen title work on Switch.

Yeah, I see many people saying things to that effect here, on youtube, etc, without reading the actual interview. It's definitely spread like wildfire. Hopefully we can do what we can to inform members here. If you would edit what I said into your op, or remove that point of yours with a disclaimer (shortened down version of what I said if you don't want it clogging up space) etc, that would be helpful.

I get that it's weak compared to XB1 and PS4, but:

1) How much power can we give up when we convert 1080p games to 720p?

2) There's no confirmation for the leaks- perhaps it's weaker(pray it isn't) or stronger. 

3) If it's so weak, why is there so much support?

Read directly above your comment. That's the problem.

3. Why wouldn't everyone want it to succeed, and who says it won't succeed? Most likely a successful Switch can only increase software sales, and publishers want to be on Nintendo's good side and capable of developing efficiently for Switch. Also, Switch development ought to be cheaper due to weaker specs (and consequently lower expectations) (mind you, it could also be somewhat costly for games that try to push the hardware really, really hard, but I'd expect it to still be cheaper than PS4/XB1 development).