Actually, one of the common feature of the integrated courses in JARland (again CTC excluded) is that all of the ATPL exams are taken before the flying programme commences.
I understand the semantic (linguistic?) point that you are making. However, as I understand it, for a course to be "integrated" under JAR, a number of criteria have to be met. If these criteria are not met, then by definition the course cannot call itself integrated, and is by default modular. Whether or not you do flying at the same time as exams is irrelevant as a determinant.
In fact, on the old CTC course the flying programme commenced from week 2 in New Zealand, about two months before ATPL study started. The old CTC course was modular, and yet you could, I suppose, argue that it was the most "integrated" course on the market.