My car does this too but only at cold start up idle, for the first ~30 seconds.
Disconnecting the valvetronic sensor makes idle perfectly smooth.
Noticed that fuel trims (short term) change a lot when in throttle body mode at idle, car seems to have less correction to do.
My car always had negative trims at idle (around -6/-8 total); in fall back throttle body air control mode they fall back in the 0+-2 % range.
Never bothered me much, i suspect it is due to tolerances no more perfect in the valvetronic system, which has to mantain very tight lift (under 1mm) at idle.
Maybe related, i think the rough start got worse when i installed (with specific tune) MILVS
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EURO E92 325i N52B30 SWAP 6MT | N54 MANIFOLD | MILVS | 22RPD
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