You didn’t list any examples of anyone even railing against left or far left positions, either real or perceived. No seizing of means of productions, forming worker’s councils, arming the working class, general strikes, abolishing private (not personal) property, black nationalism, revolution, etc. Not even just trade unions.
You can argue all you want that the two camps you described both perceive HN to be biased against them, but both you and them entirely ignore the existence of actual communists. The range of your comparisons stops well before going that far left. So how can you even analyse whether HN is biased towards the (global) right if your range of politics doesn’t even extend to the left past the US mainstream?