Got to say there was a massive gap between her politics and her economics - in fact, not so much of a gap as a glaring contradiction. A politics largely based on the capabilities of the working class to organise around and for its own needs, and one that saw them as passive reflectors of the objective condtions and the llaws of the capitlalists model. This came out in her inconsistent attitude towards 'the party question', and tragicaly in the spartacist uprising where she and the other leaders were totally oumanpuverd and knew themselves to be, but felt they had to take the decision to carry on anyway. Actually, i'd guess her long running refual to break fully with the old leaders post-1914 was another symptom of this as well.
Modern influence? Well David harvery makes good use of her thoughts on Capitals need to expand into non-capititalist areas but reject the way she came up with and applied it. She used it to analyses imperialism and the worl external to capital (as was), he sues it to demonstrate that capital constantly seeks new internal enclosures, the commodifications of everyday life, accumulation by dispossesion.
Paul Mattick is very good on her glaring misreading of Marx's reproduction schema. And she had servants.