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I don't think it's so much about individual stocks. House members and especially house leaders have the ability to propose legislation or even talk about potential legislation that affects entire industries. Blue chip stock trades ahead of major legislation (ie. trading facebook before a major revision to section 230) don't matter so much about the blue chip nature.

IMO employee insiders have restrictions to trading the stocks of their company. I don't think it's overly onerous to have congresspeople disallowed from direct control over their or their immediate family's portfolios. Does that make it difficult to work in congress and have a family member working in finance? Sure, but I think that's okay.