Most cats do run lower at night and go higher in the morning due to the
Dawn Phenomenon. The way a typical, active Lantus curve works is shown below:
+0 - PreShot number.
+1 - Usually higher than PreShot number because of the last shot wearing off. May see a food spike in this number.
+2 - Often similar to the PreShot number.
+3 - Lower than the PreShot number, onset has started.
+4 - Lower.
+5 - Lower.
+6 - Nadir/Peak (the lowest number of cycle).
+7 - Surf (hang around the nadir number).
+8 - Slight rise.
+9 - Slight rise.
+10 - Rising.
+11 - Rising (one of the quirks of Lantus/Levemir: some cat's blood glucose numbers dip around +10 or +11... not to be confused with nadir).
+12 - PreShot number.
If you are at a starting higher number in the a.m., the morning cycle is likely to run higher unless your kitty is a diver. As shown above, as the particular shot wears off, numbers rise a bit but sometimes cats will get a second dip and the number will come down.
From the Sticky on the insulin depot:
The result is an extended action. These insulins tend to display a cumulative effect, meaning that what happens in one cycle can affect the next cycle, or even the next several days. This is part of what allows Lantus and Levemir to create those beautiful, flat curves, so it is worthwhile to spend the time to understand the depot.
So the consistency in dosing and cumulative action of the insulin allows the nice curves. When you change the dose, it can affect subsequent cycles as the depot either drains if you skip or reduce the dose, or it starts to fill additionally if you increase the dose.
It's really up to the cats body as to how their cycles play out. Sometimes the cycles flip flop and they will be high at night and low during the day. There's really not a way to control it unless you want to carb him up at night but I would not suggest that unless you are sick, need the sleep, need to go out, etc. in other words, I wouldn't habitually carb them up because then there is potential for both cycles to be high.
So the actual amount of insulin at onset does not have an independent effect because you are dealing with a depot and each shot you give adds to a cumulative effect. I think one of the hardest concepts to grasp is the depot. I also think it takes reading the sticky on the depot over and over.
On linking, we just link the previous condo even if it was a month prior. It just helps those of us helping you go back and review what was said, done, etc. with all the kitties we have, it would take us forever to find those posts

Typically before I make a suggestion, I read back through the previous 3-4 condos and then look at the SS. If I see something on the SS even further back (e.g. A week), I find that condo and read it.
Hope this helps...please let me know if I've confused you further.