In the longer term, these sorts of things are governed more by demand than anything else. Sure, some governments might sometimes enact protectionist policies, but if most people in a country think the cars made by their domestic car companies are garbage, they're going to end up with a government that allows cars from other countries in.
If region X happily produces and sells rotten meat, no other region is obligated to trade with them. But region X might choose to import non-rotten meat if they want.
You can absolutely have unidirectional trade, countries produce a different array of goods and these are not bartering deals.
If the US wants to sell cars to the EU, they can. Plenty of countries export cars to the EU just fine. It's not the EU's fault that American car manufacturers make dangerous vehicles. It's also not American car manufacturer's fault that European cities and roads are often smaller and Europeans have less appetite for road deaths. But it is their fault if they want to export to that market without making any effort to design suitable cars for it. American exporters aren't granted a God-given right to inflict American standards in the rest of the world.
Front sightlines are a common example given for larger pickups and SUVs. Pedestrian outcomes in collisions are also given more weight in the EU standards (which is why you can't buy a Cybertruck).
American semi trucks are also generally considered unsafe for that reason plus overall length - nearly all EU and UK HGVs are cabover models.
There's no rule againt US-made vehicles. It's just that many vehicle models that happen to be made and sold in the US don't meet safety requirements in other places.
You can well argue that EU vehicle standards are excessively strict (many EU residents may agree or disagree on various aspects), but coming at it from "very unfair trade, it's a huge deficit, sad!" angle seems more like simping for car manufacturers then reasonable public safety policy tuning.
and
> There's no rule against US-made vehicles.
It feels very much an anti-US rule to me.
It isn't. Quite the opposite. It's about a level playing field. There are standards for allowing products to market, some of them are more costly to implement. US car makers want to sell at lower standards than competitors, that's not a level playing field.
Cars are a danger to others, that's why your own choices shouldn't be the only thing that matters.
I have no sympathy with this plight. They should take responsibility for their past choices. They have agency, they're not victims.
It's not even that you can't see big pickups in the EU, there are plenty of Hiluxen and even Chinese brands like Maxus (SAIC) could figure out how make an EU-compliant vehicle (much as I think even such models are undesirable to share roads with).
It's also not there are no US imports - there are, when the models comply with local regulation.