Lol, yes its weird that it seems temperature-related.
When i think about it, it also can be the soundsplitters for all the speakers... (there are 10 in my X, premium audio but no dsp). If they are located inside the amp..
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'01 E53 4.4i exe sport >155K-miles [daily driver]

'00 E46 323i sport >90K-miles [sold]
'01 LR freelander 2.5 V6 >90K-miles [sold]