Unfortunately, unless the GP is actively treating symptoms, and says "how do you feel" you can't trust this.
This book www.amazon.co.uk/Thyroid-Disorders-Understanding-Family-Doctor/dp/1903474191 explains why and why you do need to keep track of results.
To paraphrase from the book; If on thyroxine the majority of patients do not feel well unless their tsh is in the lower range and t4 upper. So tsh 1 or below and t4 around 20-22.
An endocrinologist told me some people need it higher even than this. I know what my personal best dose is after trial and error, keeping note of symptoms and working with GP. Alternate days 125/150.
A British thyroid foundation survey found a very high percentage of gps were not fully aware of best treatment guidelines.
It's due to the blasted range being so wide. In other things eg ferritin, mid range could be OK as the range is 70-200 ish. Thyroid does not work like this especially if on thyroxine and with symptoms. The lab might print "within range", a GP might sign it off no further action.
This happened to me when actually I was severely constipated. I suffered for a year then went to GP. She actually said she'd have preferred a better previous thyroid result. It hadbt been addressed and I trusted the GP to know.
For example, tsh of over 2.5 is not recommended for conception due to higher likely hood of miscarriage.
I trusted the GP to know how to manage my pregnancy too, and they did not until I started questioning them and they dug out the guidelines.
A friend got to 12 weeks with no thyroxine raise and felt awful as she trusted them. This was actually potentially possibly dangerous for baby. The dose must be increased 30-50% in the first trimester.