The complexity of the dependency graph produced by system-analyze is not present in most sysv init systems. That complexity is mostly a reflection of the efforts to make system services boot in parallel. Most sysv init scripts were blocking and executed serially, which is what allowed the simple filename prefixes to be used for ordering.
What to see your entire sysv init, as it will run every single time?
ls -1 /etc/rc3.d/[SK]* /etc/rc.local | xargs -- cat | less
What to see your entire sysv init, as it will run every single time?
Obviously, substitute whichever runlevel you're concerned with.