I think you’ll “always” (is there anything that’s “always” true?) get a better ketone result if you only eat one meal. At least that’s my theory. I think it’s true because you’re letting blood sugar and insulin go lower before you eat, and any insulin/blood sugar result will be more pulsatile.
I honestly don’t think protein matters much for normal folk for ketones. For you, it might not either. If you look at some of your tables, you have GKI of say 1.5 with protein of 52, 72, 59, 61 grams. Seems like a wide range with the same GKI.
By the way, when are you taking this data? The same time each day? Do you eat relative to the measurement time at the same time? The problem with ketones (and blood sugar) I find is that both vary throughout the day, even while fasting. My blood sugar, for instance, is lowest at about midnight and highest about noon, no matter what I do. Ketones for me have an almost reverse relationship, lower in the morning and higher in the evening. (Makes sense from a physiological insulin resistance perspective, you’re insulin resistant in the morning, so blood sugar is higher and you’re running on ketones; physiologic insulin resistance drops during the day and therefore blood sugar drops, ketones rise.)
But the problem I find is that unless you eat OMAD at exactly the same time and measure at exactly the same time each day, these values can vary normally, and what you measure is a function of your body’s normal variance and has nothing (or little) to do with what you ate. Realistically, you’re eating basically similar cals, carbs, proteins, fats each day.
Check out this from my continuous glucose monitor, for instance. Note that ketones would be approximately the opposite of this (higher at night, lower in the morning):
So, the data analysis you’re trying to do is likely limited by (1) your body’s natural rhythms, (2) testing errors (our devices aren’t very accurate), and (3) testing/eating times.
This shows in your data. See March 24, 25. You get a GKI of 3.1 with protein of 68 and GKI of 2.9 with a much higher protein of 107. That doesn’t make too much sense, or at least means to me that protein isn’t a huge contributor to ketones. But your table is difficult to diagnose, as high fat does not necessarily correlate with higher ketones (which is my theory: protein has little to no effect on ketones, but fat has a much higher effect).
If this is in a spreadsheet, see if you can sort the columns. How well does fat correlate with BG, BK, GKI? What about protein? Carbs? Calories (I theorize higher calorie with higher fat = higher ketones)? If you find no good correlations, then just keep doing what you’re doing. If you do find a good correlation, test to see if it actually is a good correlation.