indeed you might have been right with your statement 9-10 years ago. This was a time right after the introduction of Bolognia system, which standardised university degrees (bachelor & master) across Europe.
In 2009-2010 I was one of the first bachelor grads at the age of 21-22 and applied for the full-time positions with MBB and other tier-1 players. I had roughly 5 interviews with all top players. However, I was rejected all 5 times with a feedback that I am still very young. Several companies offered me an internship for instance saying that I should do master and definitely come back afterwards.
However, the conditions have radically changed towards favoring bachelor grads starting in 2014-2015. This was a time, when MBB and others have introduced so called "Gap year" programms aiming full-time placement of students between bachelor and master. Since then it has become way easier to get into consulting with a bachelor degree. This applies now to all European offices, including the countries you have mentioned (Switzerland, France, Belgium, UK, Germany, etc.).
Nevertheless, after getting into consulting with a bachelor degree you will be asked after 2-3 years to leave the company to obtain masters degree or MBA.
I hope this clarifies.