The mount consists of this "sleeve," as Honda calls it, which is required to slide slightly to & fro in its boss as the brake is cycled. Trouble is, this particular pin is usually severely corroded and often frozen in place. The brake will still function but at a fraction of its potential. It seems well-protected by two tightly-fitted rubber boots (shown in background) but still suffers from its location at the bottom of the caliper.
The hard part is freeing the sleeve from the caliper — this one was soaked overnight in parts penetrator and twisted loose. The boots are often in reuseable condition.
I'm sure if these sleeves were serviced at each brake pad replacement or say, ten years, they'd remain in useable condition.
Good to go! Let's mount 'em up.