A couple of observations. I've noticed that I need to ride at least five miles to be warmed up. Prior to that, power output is 20-30 watts less, and this is consistent no matter which of my three recumbents I ride. I also see that when performing the two mile test, my power output seems to drop after about a mile, but then it increases again. I've seen this happen four times now. Since this is solely a measure of power output, it can't be accounted for by variables like wind or slope. Not sure what causes it.
The so-called primary component of VO2 dynamic modeling is an exponential increase in oxygen supply based upon demand from the working muscles. This is essentially the time from starting until getting into a steady state pace. In the upright position, this time period is much shorter than during supine position (recumbent). I apologize if my memory is wrong, but it is about 90-120 seconds in the upright and 120-180 seconds in supine position. Prior to the the delivery and use, working muscles are more dependent upon anaerobic sources. There were a number of studies out of Japan IIRC on this topic and some were not cycling (swimming and rowing IIRC but some were cycling specific).
For someone like you who has a high W' or we can say perhaps more of a sprinter than a marathoner, it would be very easy to overdo the first minute or three and feel some suffering until the oxygen saturation/desaturation curves somewhat equilibrate.
I observed that too, which is why I had researched it a year or so ago. I was going to buy an infrared sensor to measure this effect in my vastus lateralisbut decided to spend the money on tires. I don't want to overstate the difference in these time constants but important to realize there should be significant variation from individual to individual and would also depend on the bike (seat angle and height of legs over the heart). I like to think of myself like a pot of water, it should be simmering before a hard effort but not boiling. Once I light the fire, it is going to take some time to boil and a little patience is important, so, no gas on the fire. Patience.