As I understand the OGTT it is conducted on someone who has not changed their life style for a few weeks (possibly 4 weeks) and stuck with what they consider to be their NORMAL diet during that time (it can be LCHF or whatever).
At the test the person will have fasted for the 12 hours or so prior to the test commencing (this is why it's usually conducted in the morning) and firstly a sample of thier blood is taken which forms the initial reference for their fasting blood glucose.
They are then given a specific glucose loading (usually it's 100ml of Lucozade to drink) and periodically at various time intervals a sample of their blood will be taken in order to measure their blood glucose level at that specific time.
Sometimes the samples are taken at 1/2 or hourly intervals for either the next 2 or 3 hours.
From the resultant data of all of these various samples it is them possible to see how well or badly the individual is at absorbing and processing a fixed amount of glucose over a given time period, and from this data it then becomes easier to predict if the individual is a true diabetic, pre-diabetic or non-diabetic from these results.
The individual being tested should as I have stated NOT change their lifestyle or diet in the 4 weeks that preceded the testing and should also be healthy and free of any illness/colds.
I hope this information is of some use and helps clear a few of your concerns.