This might not apply to your boat, but was a situation I saw last year where I was asked to visit another yacht where they had a similar problem of the vessel apparently wanting to veer off to starboard when driving ahead. On taking a look at the situation onboard I found that the wheel had a marking on the rim to indicate when it was amidships, but it didn’t seem to me to be in the right place. Setting the wheel mid ships according to its marking and locking it in place, the electronic rudder indicator was indicating the rudder to be amidships, but going down into the lazarette and taking a look at the quadrant, the rudder was actually some 5 degrees or so off to starboard. Looking at their autopilot system where the hydraulic ram connected to the pin on the quadrant, it was found that the pin was such a sloppy fit, that I was surprised it hadn’t all separated and parted company. Apparently some time earlier in the year the wheel had become disconnected from the quadrant when one of the steering cables broke, and following a temporary (now long standing) repair it had become apparent that the wheel marking was no longer the mid ships position, and so the electronic helm indicator had been used to determine the mid ships helm position. It wasn’t right, and nobody had thought to take a look into the lazarette to check the true position of the quadrant. In consequence they were going around with a little bit of “right hand down a bit” which they didn’t realise !!
Sometimes you have to see the unthinkable to realise that for some it actually happens !!