Lufthansa's terms & conditions still state that they do not allow such behaviour (despite local court decisions against Lufthansa on this issue - so much for the law-abiding German company...).
However, it would take a lawyer to figure out if these are applicable precedents as OP will have bought his ticket in the US. The recent EU legislation does NOT cover this case.
If you are lucky and your transfer time is short enough you might miss the connection...