My opinion.....
In theory yes. In practical life, no.
There are many other changing factors like wind and barometric pressure, temperature. All changing, all the time.
The most obvious need to retrim is from fuel usage.
Even tanks nominally over the cofg tend to need a retrim......
My fuel use tends to drop the nose after a while.
As my trim adjustment is quite course, I trim for a slight climb at a high throttle setting, then throttle back for level flight. Then as fuel burns and the nose dips, I just add a bit of throttle....works well, without constantly playing with the trim.
Edit. I'm talking very light/ultralight aircraft....