Good news is newer Volvo, such as 2004+ models, and later BMW (? 2007+) did away with this pump.

They use VVT technology to modulate the timing to reduce emission on cold start.

PS: The purpose of the Pump is not to heat the cat, rather it injects extra air into the exhaust (the mixture during cold start is rick in gas: air ratio to allow easier start). So when extra air is injected into the exhaust, the amount of pollutants are reduced.

Pollutants are uncombusted hydrocarbons (HC), carbon monoxide (CO), oxides of nitrogen (NOx), and particulate matter (PM).

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1998 E39 528i 5sp MT
2006 E53 X5 3.0 6sp MT