I believe it is much simpler than all that.
If the bail bond says pay under IN
GOD WE TRUST then that sets the specie of the transaction. Therefore a proper Oath of Office, properly subscribed in proper form swearing by that same ever-living God and published with the correct clerk is a fungible fidelity bond. If you can see this connection of specie - US currency notes - and you can understand the relationships then the complicated stuff becomes nonsense.
Need I point out that Motla68 is not showing us any details or cause (forms) and effect (setoff)? I am not calling him a liar, I am just saying that it is dangerous to be dazzled by Internet posts into acting on them like actually filling out a 1099 and sending it all around hoping to make charges disappear.