About ten minutes after making that first post, I thought, "It's a beautiful day outside; I should go for a drive!" So I got on the road to investigate. Traffic wasn't too bad, but there was enough to keep me from pushing too hard. Here is what I found . . .
Default mode and ESC settings. Fourth gear, maybe 50 MPH and ~3K RPM, I put the pedal to the floor and hold it. At about 4500 RPM, the power cuts out and the revs drop about 500 RPM. Foot still on the floor, the car accelerates again through 5KRPM with no hesitation. I did not see anything light up on the dash board. Just watched the tach needle climb, drop, then climb again. Almost like the car said, "Are you sure you want to do this?" Then when I kept my foot on the floor it said, "OK."
Repeat the exercise, and get almost the same result. This time the power cutoff came just over 4K RPM. Not quite the same point as the first time.
Hold the ESC button and enter ESC Sport mode. Accelerate from 3K in fourth gear and all the way up over 5K with no interruption. OK, I think I have my answer! It must be something with the ESC settings.
Repeat the exercise in ESC Sport, and this time I get the power cutoff somewhere over 4K again. WTF???
I did a few more runs with default ECS and ECS Sport, and found that regardless of that setting, there were some runs when the power cut off and the revs dropped, and some runs where it didn't. Off the highway, I did a few pedal-to-the floor runs in 2nd and 3rd gears, and I did not experience any power cutoff. Probably not a big enough sample size to reach any firm conclusions. Last Sunday I participated in an autocross. Mostly second gear, but plenty of WOT, and no issues.
Again, in response to jimlloyd40, I did not observe any lights coming on when this happened.
As far as I know, my motor is stock, but it is possible the PO did something??? I have read some other threads about somewhat similar behavior, and a slipping clutch was suggested. The one time I drove a car with a slipping clutch, the revs shot up when the clutch slipped. I am not aware of any issue of clutch slippage where with foot to the floor, the revs drop and then pop back up.
I guess I'm still thinking something is making the nannies kick in. I wonder if I was giving some steering input with WOT that the car didn't like. Maybe? I tried a couple of times jiggling the wheel while accelerating, and maybe one time got the power to cut, but definitely not the other time. I really didn't want to screw around with the steering much while accelerating through 70 MPH on a public road. Maybe I hit some irregularities in the highway? But it is a pretty nice road, and I didn't notice anything particularly upsetting in the surface.
So, there's more info, but this is still a mystery to me.