I am just trying to understand. It's a weird situation. Essentially you are asking the IA to sign the plane off as being safe for you, your family, your pets. But yet we can't trust them with the log books which we can agree have some value at buying or selling time (another topic since only required to keep a year). And reading @EricJ response the FAA is saying we can't trust the safety of the log books with the IA. Of course let's not talk about making the onus of an airworthy airplane on owner/pilots that don't know the difference between fuel injection servo and a carburetor. And let those same owners remove the brake calipers to change a tire, but not trust them with changing the break pads in the rotors they just removed.
Going further, I have 4 very expensive Champion Spark Plugs that 3 of 4 broke. The whole reason we are given for spending lots of money on parts is the PMA process. The PMA Spark plugs were known to have issues. https://mooneyspace.com/topic/42826-champion-spark-plugs/ Now given that my deal with the IA is the airplane is airworthy until it crosses his hangar door. As noted in the three issues I found two flights after the annual.
Fly it fix it.