Question about BSD init vs. SysV init

[Robert Romito]

Hi.  I've been reading more about BSD init vs. SysV init.  I run 
Slackware, which uses BSD-like init, but also has a sysvinit script.  

My question is:  Does BSD init use a different init executable that SysV 
init?

 From what I've been reading, it seems that BSD init and SysV init are 
just two different ways to organize your bootscripts.  The  init program 
called by the kernel at boot is the same for either style.  So if I 
wanted to make my system more SysV-ish I only need to re-org my scripts 
as per SysV convention.  I do not need to download and compile a 
different version of init.

Is my understanding on target?

Robert.