This was confirmed by one of our Belgian IFR students. When he bought his brand new Cirrus 22, he had to get a foreign-based FAA PPL in order to fly it in Belgium.
Are you sure it's not just a case of practicalities? Who wants an aircraft such as an SR22, and be restricted to flying within such a small country as Belgium? If you fly an SR22, you need to have the licences necessary to travel significant distances if you want to make use of it.
dp