As you have described your symptoms in your most recent post: This does not correlate to what I have observed as the built in protection protocol during cold engine cycle.
As I have observed: During cold engine cycle protection (pre 180-185 operating temperature) the car will not pull boost above anywhere from 5-10 PSI. Otherwise the car will run normally. It is not sluggish or slow. It just will not pull max performance because the ECM is limiting peak boost command until operating temperature is above the 180-185 range.
The only other thing I can think of is if you are jumping in and taking off while the engine is dead cold: The ECM also runs a cold start CAT warm up cycle in the first 30 seconds to couple minutes. When you first start the car, and it is dead cold; the ECM will command a high idle and it also runs A/F pig rich. This programing is part of the emissions requirement to quickly heat up the CAT. If you tap the gas, the car will typically drop down to closer to normal idle, but it does still seem to be running on the rich side. If you were to start the car and immediately drive and demand throttle, the run rich status may cause the symptoms you are reporting. However, I have never observed such symptoms personally. I tend to always let the car drop down to normal idle before I take off.
The only other cause I can think of that could be the source, but not necessarily throwing a code or CEL yet: If the CAT is just beginning to fail and causing excessive back pressure, that could cause the symptoms as you have described them. The CAT could be just marginal, but after it warms up the restriction lessons and you have normal operating again.
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