I think that's generous to Border: in his first four years as captain (i.e. when Australia were mediocre) they won 1 series out of 3 against NZ, 0 out of 2 against equally mediocre England teams (and drew a one-off), won a one-off against SL, drew 2 series 0-0 with India (the first of which could easily have been 2-0 to India), and lost a series each against Pakistan and WI.I'm in total agreement when it comes to ranking Benaud as Australia' greatest captain.
Both Border and Chappell lifted mediocre teams and I rank the former higher. Chappell had the benefit of Lillee and Thompson.
Everything I've seen about his captaincy at that stage was basically sympathising with him for having such a thankless role, but reckoning he'd made a pretty poor job of it (e.g. Greg Matthews said "I have an unbelievable amount of respect for Allan Border, but he was a poor captain.")