What were the differences you actually encountered Alisonjane, and did you retest the 3.6 again on your Codefree and/or other meter?
Either way, many people have posted stating how unsettling they have found using more than one meter, for the reasons your yourself cite. I only ever use one meter (although I do have a spare), as for me, although the numbers are important, the trends I see are even more important. I appreciate that's an easier stance for me, who doesn't take any medication. If you have to address anything under 4 (as you will if you are going to be driving, and still on Gliclazide), I can appreciate how you would want to know if you really need to treat the 3.6 (for example), when it might actually be over 4.
Sadly, no meter available to us will be completely accurate all of the time, but swapping around will increase the chances of inconsistency. If you are going to stay on the Glic, could your HCP be persuaded to increase your strip prescription to an appropriate level - especially now she sees you are taking things seriously?
On a related, but separate topic, have you developed your strategy on (reducing/stopping) meds any further of late?