Because they are often not quoting for the same job. A dry cambelt on a small petrol engine and a wet belt on a 1.2 PureTech are both called timing belts, and one costs three times the other.
A dry cambelt sits outside the engine behind a cover. A chain sits inside it, in oil, and is not a scheduled job at all. A wet belt is the awkward one in the middle: a rubber belt, like a cambelt, but running inside the engine submerged in oil.
They fail differently too. A cambelt snaps and bends valves. A chain stretches and rattles. A wet belt does neither — it sheds material into your oil until the pickup strainer blocks and the engine starves.
So the first thing we do is establish which of the three you have. That is a free phone call with your registration, and it decides the interval, the job and the price.