To know they are good with confidence:
IF the crossover is simple (ought to be, it’s just a 2 way design), and easily accessible, you could simply install decent new parts from Parts Express for instance.
I ’preventatively’ upgraded the caps in my two pairs of AR-2ax, it was easy, the newer parts, even standard quality, are as good as or better than what was used back then.
I read that they are often used with a sub, are you doing that? This would be the time!
btw, have you examined the cones and surrounds for dryness, tears, perforations? I have re-coned my 15" woofers made in 1958 3 times over the years.
https://www.audiogon.com/systems/10092
