This whole "air injection" system was added by BMW to meet the California Air Resource Board, CARB, standards. Otherwise, the BMW line could not be sold in that state. We all inherited the crap and occasional related reliability issues of the exhaust valves.
Even today, gasoline-powered lawn mowers, power generators, weed whackers, leaf blowers, chain saws, ad infinitum, sold in California must meet CARB standards. Ckeck Sears, Lowes, Home Depot, etc and you'll find yard implement specs that state,"Not for sale in California". You must buy the higher priced Cali items... with, of course, the BMW-ish air system fitted.
And just try dropping a new Chevy 350SB crate motor, with a carburetor, into your early Chevrolet project car. Good luck fighting the DVM on that one. You'll need a few weeks off work dedicated to just standing in line.
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