My mother was T2 and on oral meds and BACK THEN she was told it was useless and pointless to test at home. This was back in 1987. Needless to say, that doc didn't give a rat's behind about my mother either. So with that said...
Test!

Even if your doc tells you not to, do it for your own sake!!! That way you can keep an eye on things, and see for yourself how you're doing. By testing you'll also learn how your body reacts to different foods, diff stresses, and how it does when you have the flu for example.
Your health is your wealth. Never forget that!
23 mmol/L three hours after a meal... there is something wrong here. If need be, seek another doctor. It is you who will suffer from complications, not your doc. You might want to remind this to your doc when you see him (her?) again too.
When I was living in England, I had the best of care. My healthcare team was great! This is very worrying to me. Maybe your healthcare team needs to have its cage shaken a bit as we say here...
The very best to you!