I can think of 2 reasons why compression ignition has not been adopted for BP arms:
1. It takes a good deal of work to compress air to the necessary temperature for ignition of any fuel - work which has always been applied by the shooter himself in spring-piston air guns (and, remember, pre-compressed air, which is also use in air guns, cools upon release and expansion, while quickly compressed air is heated, though it, too, begins to cool immediately it commences to expand again). It is simply too much effort for the purpose. In case of any potential sharpshooting dissidents, I admit that it might be possible to use very high pressure pre-bottled air, such as is used in modern airguns, to do the work of compressing the 'working/ignition' air by acting to drive the piston, but think that, too, would suffer from the same objections as:
2. The necessary mechanism to compress the air adds complexity and weight to the arm - far more than the accepted means of ignition in standard ML arms. Then, unless an effective valving mechanism is also present to prevent the entry of powder gasses and solid residue, the piston and cylinder would fairly quickly become so fouled as to prevent proper function - and would be a real PITA to disassemble and clean every time the arm was used (even more work than a wheellock).
It just isn't practical or, really, necessary, given that flint and percussion ignition work well enough for the purpose.
mhb - Mike