It's actually true, and the service isn't just trying to scare you. Brake fluid is hygroscopic - it absorbs moisture from the air through microscopic cracks in the hoses and seals, even if the system is completely sealed. Water in the fluid lowers its boiling point, and brakes heat up significantly during braking. If enough moisture accumulates, the fluid boils, air bubbles form, and the pedal becomes soft or stops working entirely. On an older car like yours from 2005, this is especially relevant.
Waiting until the pedal starts to feel spongy means you're already pushing into dangerous territory. By that point, there's usually already a critical amount of moisture in the system. The recommendation to change it every two years isn't the service's whim - it's the standard for most cars. For your Peugeot, I'd recommend sticking to exactly this interval, especially since the car isn't new.
A fluid change takes a few hours and costs relatively little compared to repairing the brake system or, God forbid, brake failure on the road. If you haven't changed the fluid in a while, it makes sense to do it soon, then stick to the schedule going forward. It's just preventive maintenance that's cheaper than having to fix worn-out cylinders and calipers later.