...What are these leaps? Did you even watch the 2 minute interview segment? It wasn't a comparison at all, not in the sense that the OP is framing it. She was just speaking generally -- using many examples -- of difficult life situations, and moreover, clearly spoke as an ally who gave her friend advice toward acceptance.
As much as we, being LGBT+, like to think of acceptance as a no-brainer these days, the reality is a child's coming out is going to be a challenging thing for some ignorant parents to come to terms with (she's speaking on The View, to their audience, not a venue of cutting edge progressivism) -- especially for an older parent raised more conservatively, presumably like her friend (HRC is 71, and this was "years ago," not in 2019).
It was a meandering point because I imagine she's tired of explaining the personal struggle she had (that's cynically dissected by the public) over 20 years ago.