The difference between a modular course graduate and an integrated course graduate is probably little or nothing in most cases, given training at reputable schools and good continuity. An individual's ability is likely to be far more relevant than the type of course he or she did.
However, it's Brymon's train (plane) set, and it's up to them what minimum qualifications they require. I can understand why their accountants and insurers would want the reassurance of either plenty of hours, or a full-time CAP509 course for their new hires. RHS of a glass, two man cockpit, is a very high pressure place to be when under training in revenue service in very busy airspace. Brymon has a duty of care to their passengers, and they may well feel that this is the best way to discharge that duty. You, of course, may disagree, but you're not employing them - they are employing you (or not).
At your end of the aviation food chain employment is a buyers' market. There aren't that many opportunities with reputable outfits like Brymon, and they are well aware that they can afford to be fairly picky. It's your job to measure up to their requirements (as many of your peers will), not to complain because you don't qualify. Go and get the hours - and do it quickly, because the jobs market is not going to get any better than it is now. In fact, it will get considerably tighter in the next few months.