A false hypo is exactly what it says Ennie.
You have all the symptoms of a real hypo, in that you feel shaky and maybe sweat on the bit between your top lip and your nose, except when you try to wipe it away or mop it up it's perfectly dry, you may see spots before your eyes (like you've just glanced straight at the sun or a bright lightbulb) you may have unco-ordinated limbs, you may bump into things, or stumble and you may slur your words, all normal hypo symptoms. Yes when you locate the strip hole in your meter with the strip you've managed to get out of the tub (quite with difficulty LOL) and test - your BG is above 4. You should not get these symptoms because you are NOT hypo. You don't believe what it says. So you wait for a few minutes and test again with another finger. You are still above 4.
What's happening? Well - because your body gradually got used to having higher than correct BG - it objects once you start lowering it again to more normal levels (4 - 7 ish) The quicker it drops, the worse those symptoms will be. Gradually, same as your body got gradually used to higher levels of BG, so it will get used to having normal BGs again. This takes a little while - differs for everyone.
So you have to grit your teeth and let things take their course until your body is once again happy with the normal BGs you impose upon it.
If you really really can't stand it - then have a cuppa and ONE plain biscuit (or the cuppa with ONE tsp of sugar) But you mustn't KEEP doing this every time until the hypo actually becomes a real one at a level UNDER 4.0. As a T2 not on insulin or any other hypoglycaemic agent (Metformin isn't one) you can actually go down lower than 4 quite safely.
Non-Ds can dip down to that level sometimes absolutely safely with absolutely no ill effects.