Most guys who fear leaving logs with a mechanic are either new to ownership or have no relationship with their mechanic.
It's my experience that this couldn't be farther from the truth. Around the areas I've been based, and there have been quite a few over the last 14 years given my nomadic tendencies, it's the exact opposite.
* newbies let the mechanic keep their logs. They don't know any better.
* people who aren't true aviators...who have a plane for the utility only and not for the passion...let the mechanic keep their logs.
* people who have enough money to not be bothered with trivial stuff let the mechanic keep their logs.
But many of us keep and mange our own logs. Many of us perform owner assisted annuals so we know our machines well. Many of us don't allow mechanics to do the final assembly of our aircraft after repair (like reinstall the cowls). We do it, after we thoroughly inspect the work that was done.
It's not about "not trusting." Rather it's all about staying alive. Everyone makes mistakes...even me occasionally. I've caught a few "honest mistakes" or oversights over the years. One that I didn't catch put me down---dead stick---in Wiggins, MS about 12 years ago. That one helped to galvanize my above position on managing my airplane.
I was there almost every day helping (or simply doing myself) as my new engine was installed last month. And, yes, things were caught during the install and adjusted/changed. I have a far better install as a result of being personally involved than I would have had had I simply allowed it to happen with no involvement.
To each his/her own, but I'll stay heavily involved, thanks! I'm certainly no better than any mechanic out there but I offer another set of eyes...and it's a set of eyes more concerned with the welfare of my butt than any other.