This article makes it seem like the Swiss have been somehow singled out, but the same restriction applies to a number of countries, many of which are firmly US allies.

I'm just one Swiss guy but here's my two cents... Are you asking in a war-related scenario or about regular non-wartime trade? I think the "we trade with allies only"-rhetoric makes the discussion sound much more martial than the trade-related language Switzerland would have expected (notice how the Swiss response only uses economic and commercial terms). Totally understandable if either country was at war or the products in question were directly arms-related. But as it stands, moving the discussion from CH buying AI-chips to military neutrality feels a bit besides the point from a Swiss perspective.

So to your question, I think Switzerland wants to be considered as: someone's trade partner, generally yes (or maybe we call it "trade allies" now?), but not someone's potential ally in war. Military neutrality has always been the number one principle in the Swiss Confederation's foreign relations. If this now is supposed to be an unspoken economic sanction against Switzerland then is the message behind it: "Hey everyone, be our military ally or have nothing to do with us"..?

Yes.

Being from Denmark I have always been puzzled by how US/UK media portray us as neo-Hitlers for being slightly more critical of MENA immigration than our neighbors. Meanwhile Switzerland has been doing what almost amounts to white-only immigration to the point that their "troublesome" immigrants are Europeans from Albanaia and Serbia.

Neutrality is good for PR.

All of them at the same time, they want to eat their cake, have their cake, sell their cake and rent their cake. Neutral means you get to profit from doing business with all sides at the same time while spinning some virtuous BS PR how you don't take any sides while you deal under the table with bloody war lords. That's how Switzerland and later Austria got rich in the cold war, by being the middle men between the NATO and USSR deals. Today it's being a middle man between NATO, China, Russia.

There's always gonna be demand for middle men to wash dirty laundry of various countries' deals that they prefer to keep secret so they can pretend to stay clean on the public scene.

European countries would do well to stop being so complacent and relying on US for high-tech and defense since the US never hesitates to flip the switch from "you're a valuable ally" to "you're our bitch, whaddaya gonna do about it?" whenever it needs to strong-arm you into complacency, and so the EU should invest heavily on having a competitive local defense and high-tech industry, but who am I kidding, this is always falling on deaf ears and nothing's gonna change.