And being honest, it could’ve been the Obama card, or the Bush card, or if social media existed back then I’m sure the Reagan card. Although in this case it was more of a side point than using it in place of the main point, which was about constitutionality.
Also, during the server investigation, the FBI did claim that attorney-client privilege was inviolable in similar circumstances (attorneys who may have done non-attorney things for Clinton) to justify not raiding people, so linking Hillary into this discussion is actually relevant as there is a marked difference in the FBI’s actions and justifications in the two situations.
Your last point is exactly valid and reasonable. Some people simply can't have rationale debate and instead go to partisan memes when asked to.