I am not sure if Rett has made this clear, but it helps to remember that
bahubbiihis are not primary compounds (= a method of compounding), since in
isolation they are identical to kammadhaarayas or tappurisas (mainly the
former), but become bahubbiihis according to the context -- when they are
used as adjectives. Context is everything ! It is also useful to note that
bahubbiihis are more likely to be derived from kammadhaarayas than
tappurisas.
The other important thing to note is that one resolves compounds from the
last member, working forward one item at a time: A + B + C + D should be
read as C + D, then B + (C + D) and then A + (B + C + D). That is, at each
stage, a compound can only consist of two members.