Even without advertising by the universities, the Netherlands is a popular choice
The missing piece of the puzzle here is that I am not really in favour of unrestricted admissions, which is the norm in many western European countries, including NL.
My reform would be to 1. set up a minimum standard of education that I want to offer to the students 2. take stock of my institutional resources and see how many students I can offer quality education to, 3. work with my local community to see how many out-of-city students we can house in humane conditions, 4. bring tuition down to non-profit rates (third-country nationals will pay at-cost prices but they won't subsidise others with inflated fees), 5. only admit as many students as I can reasonably educate in high quality conditions based on the outcomes of the previous four points.
In other words, I believe that Numerus clausus should be the norm, not the exception. The universities may remain attractive, but they can simply not admit not admit more students than they can support.
Whether it makes sense to offer degrees in English after my reforms remains to be seen. Maybe it still does, maybe it doesn't - but my priority is that students get quality education no matter what. What language it is in is more of a practicality in my eyes.