The trouble with MS is it is all smoke and mirrors - you won't see a massive memory usgae because most of MS's 'preload' isn't specific to MS Office (but if you look in startup you will find MSO). A lot of the support required for MS Office is shared support for other apps and loaded as various DLLs with cryptic names even when Office isn't installed.
OO doesn't have that luxury. It is written to run on Windows, Linux, Mac (and others) so it has to have libraries written for specific support for OO. There is no way round that.
Having said that if you want to see how bad MS Office can be try using Outlook (any version since 2002) and you will find out what slow is. Not only is it horrendously slow to load but when you check your emails it freezes up periodically until it has finished downloading.
It is interesting that you single out OO Draw for improvement - MSO doesn't even have a draw feature!
Have you tried inkscape