I mean, we in europe did a a lot of trade with US too, and between other (then and still) EU countries, but the americans (and brits, and a few others) decided to attack Iraq for example ("Iraq has WMDs!"), and there were no sanctions and trade went on. And many other conflicts and bombings all around the world.
So it's not actually caring about the war and dead people (if we did, we'd do something about what israel is doing in gaza), but "us vs them", and russia is "them" while US was traditionally "us", until daddy Trump came along.
Someone probably told the EU politicians that russia will cave after a month or two of sanctions, there will be some kind of a "revolution" there, someone "pro EU" will be set there, and gas would be even cheaper.... A similar scenario was probably given to Trump for iran (just bomb the government, they'll cave, and you can set up a new pro-US leader there again).