Not really true. And, I can say this as someone who's followed both U.S. and European railroads all my life and done engine cab rides in both the U.S. and Europe.

Of course, it depends somewhat on what the original poster meant by "this kind of crossing."

In Europe (I'm generalizing as countries vary somewhat) Main lines with speeds above 160 km/h (100 mph) cannot have any grade crossings and have to have specific types of advanced signaling systems --as well as other types of safety features.

However, other lines, including main lines, may have grade crossings. Depending on a variety of factors, including the speeds at which trains operate, these may have full four quadrant gates and may also be interconnected with road traffic signals. But you will find some crossings that only have half barriers and no barriers -- in other words only flashing lights. Crossings with automated protection but limited sight distances for the train operators may have crossing protection verification signals. These display a light to indicate that the crossing protection is working.

In a few very rare cases, you may even find some main line crossings that have no active protection and where the operator (train driver / engineer) is required to sound his horn. In Austria, I am aware of some of these even on a mainline (though with low speeds due to curves and grades) where major hiking trails cross the rail line at grade.

Yes, in Europe vastly more rail lines are totally grade separated, but you will still find grade crossings of various types. And, yes, they do have grade crossing collisions, though way fewer than in the U.S.