Anyone who is familiar with the phrase 'special relationship', which is to say anyone who is familiar with British foreign policy, would know of at least one huge exception to your claim. But really it's not much of an exception; the trans-Atlantic relationship is important for every European government, and the visit of an American president is a big deal for any European nation's public. Not necessarily in a very positive way, but a big deal either way. And when American politics or the attention of the American public happens to linger on any particular European country for a bit, you can be damn sure that the press of the country in question will have long daily reports on everything that was said. Here as well, not necessarily in a positive way, as they may feel that some Americans are ignorant and insulting in what they say about their country, but they'll pay close attention either way.

Like any superpower, the US has an unbalanced relationship with most other countries in terms of attention: the smaller country knows far more about the US and pays far more attention to it than the other way around. Which in some regards is a huge advantage for the US, but on the the other hand can be rather annoying, as the superpower's citizens may get understandably irritated with all the foreigners pushing their opinions where they aren't wanted. Pretty inevitable though.

If it's any consolation, the more the US withdraws from its global leadership role and turns isolationist, the more this phenomenon should decrease. Eventually.