Nerd mode here...
I'm sure you all know that ICAO, other regs and EASA (Part M.A 401 to 403 if interested) requires defects to be recorded and rectified including deferral. Usual MEL considerations by pilot etc.
The tech log is one of those documents that is used to monitor the effectiveness of the AMP; use it.
And further to posts above...tasks have to be accomplished in accordance with approved data (to which sign-offs must refer). Engineering judgment doesn't come into it at a maintenance level. The only time I have seen the term "engineering judgement" relates to Reliability Programs and Maintenance Programmes.