I seem to recall that the old vacuum brakes were applied by a big spring and the vacuum was required to release them. I assumed this was the case with air brakes too. It appears not. Someone will be able to tell us how it works in the UK▸ .
Just to clear up the point raised - both vacuum and air train brakes are applied by the (+/-) air pressure. They do have springs but to push the pad/shoe off. Air was better from pretty early on, but there's a big reverse compatibility issue that meant vacuum survived in Britain for a long time.
As to why spring-applied parking brakes are not used I don't know. I can't see any compatibility issue, other than in training and procedures. A steel spring will be heavier that a compressed air one applying the same force, but on reflection that's hardly an adequate reason. HGVs have air brakes that are not unlike train ones, but they all have spring-applied parking brakes. Since they need more powerful brakes (for steeper gradients) and are less able to carry excess weight, it's not easy to see why trains can't use them.
Lots of details on Wikipedia for this topic, including the history. In fact there are at least three very similar topics, for some reason. Fortunately they all say much the same thing.