Personally I wouldn't do it. ATF isn't bad, but Seafoam can be brutal on an engine. I don't know BG44, but it is likely similar in composition. You aren't going to affect the oil control ring unless deposits are changing the tension on the ring. You aren't going to have deposits unless you are using cheap gas or doing lots of short trips. You can address either with a good run, getting it hot enough, unless it has gone way too far.

I don't necessarily agree that any car burning oil has a problem, but I would agree that any car that has a change in oil burning has a problem. My M54 in the X5 burned oil, at about a litre per 4000-5000 km, from new. I had two other M54s, in a 325 and a Z4, at the same time. All three were broken in very similar. All three used the same brand and weight of oil. All three were driven in a similar manner. The 325 and Z4 used far less oil than the X5. I think that with the weight of the X5, the engine was just working harder. I think it is worse with a manual transmission, because it ends up revving more.

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2007 X3 3.0si, 6 MT, Premium, White

Retired:
2008 535i, 6 MT, M Sport, Premium, Space Grey
2003 X5 3.0 Steptronic, Premium, Titanium Silver
2002 325xi 5 MT, Steel Grey
2004 Z4 3.0 Premium, Sport, SMG, Maldives Blue