I have done work on a few of the Lymans, and the ignition speed [ slow ] was a combination of the breaching/touch hole design and the lock's performance. What size is the touch hole ? What flints are you using ? [ french, english, or the packaged saw cut ] The springs were rather weak on the locks I saw.
Also, the lock internals were " loose" , so alignment of the contact points was off. All combining to slow the cycling of the lock. In the end, working on the locks helped, but the biggest change in reliability came from opening up the touch hole to 5/64ths