X5 electrical issue (any): always check battery charge and then alternator performance. Common source of many temporary gremlins on these. I've had the 4x4 light, seat heaters stop working, other warning lights on, suspension errors, and all traced to battery or alternator. Of course there can be other causes too.

Goosing the throttle might just be goosing the alternator? Seems improbable, but...

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Mike

2005 e53 X5 4.8is 169k miles
2018 f90 M5
2018 Volvo XC60