Interesting, I noticed that what I thought was hba1c on my clarity app had changed recently (I'm sure an average bg of 7.8mmol/L used to correspond to 6.5% and now 7.7 corresponds to 6.6, and now I realise that it's referring to GMI and not hba1c.
So it's now giving me a slightly higher figure than its old hba1c estimate, which was definitely less than the lab results.
Have you got a link to the conversion table?
When I google I get
Is the Glucose Management Indicator a Useful Tool to Measure HbA1c? - Endocrinology Advisor
GMI (%) is calculated using the formula GMI = 3.31 + 0.02392 × mean glucose in mg/dL, which is derived by regressing contemporaneously measured HbA1c values against mean sensor glucose levels. The study investigators sought to compare laboratory HbA1c results estimated from continuous glucose monitoring data with HbA1c calculated using GMI. GMI was assessed using data from 3 12-week randomized controlled trials of the glucose sensors Navigator 2 (n = 114) and Guardian 3 (n = 85), as well as data from Dexcom sensors. Trial participants were children and adults with type 1 diabetes and HbA1c levels between 7.5% and 10%.
The above link suggests that the data used to derive the formula was got from people with hba1cs between 7.5 and 10, so I wouldn't expect it to be accurate under 7.5%
However that article is from 2019 so a more recent one might have better data?
OK, a more recent article here, with a wider range of hba1c data, though it's saying that the result is pretty inaccurate in my opinion (within 0.5% for half the study? That's +/- 5.5mmol/mol)
Using the GMI to Estimate Your A1C: How Accurate Is It? | diaTribe
Edited to add, and a Happy New Year to you too.