I'm going to need to break the knife down again as I can see some of the graphite getting into the pivot but so far there is no noticeable difference in the deployment speed/smoothness.
If any graphite gets in the pivot, it won't matter. As the graphite works its way in, it will just help polish as it goes. Graphite is a great dry powder lubricant that is used in locks maintenance and lock picking, with tiny malleable metal parts, known for binding when corroded. You're fine. Just blow it out and go on with your day.
My 0560 gets unbearable sticky lock when I apply lubricant. any suggestions on what is a good lube to use?
Any liquid lubricant is going to cause binding. Most will grab dry material, say, pocket lint that would normally and easily be blown free. You add a liquid lubricant, and you got a no longer dry debris problem in your knife's inner working, but wet, sticky and compacted debris, which MAY BECOME A PROBLEM, not will, but may.
Most knife designs are made to work debris clear of the action, and Rick knows how to design a tough knife, and ZT can damn sure make a tough knife, so, I have no doubt that some wet pocket lint won't be a problem. But it could be, you never know.
I say stick with either a lithium grease (use very, very, very ,very small amounts) just to connecting parts, or a graphite powder. You can get it at most lock stores, and some other places, or online. Or you can just be a cheap ass like me and use a pencil once and again.
Lithium grease is cool, but you only want it on the pivot area, not on the lock bar/face. Just use a pencil if the lock bar is sticking.
And just for the record, I'm not a Ti framelock expert by any stretch of the word. I just like playing with knives is all.
Moose