According to your diagram, the reefing line has no purchase. It's just single line with a block at each end or the boom. To clean it you'd only need to squirt the cleaner and lubricant right on the blocks... maybe a thin straw type extension on the nozzle. If you want to wash or change out the line, that should be easy enough.
The outhaul, of course, is a different story with its internal purchase, so it's good you have instructions available.
On my 45 year old boat, the outhaul's biggest drag is not the interior tackle, but the slot for the clew slider. Therefore, I lubricate the track yearly. For the interior wire tackle I try to squirt the dry lubricant on the small blocks through couple different openings... but, honestly, I've only done that maybe once every 5 or 6 years as I have never had issues with it freezing up. When I converted to a loose foot main many years ago, I inserted a second slug at the clew, thinking it would be safer and stronger. It was easy to simply lash the two slugs together and with the yearly track maintenance it has always moved nicely.
This year I bite the bullet and replace the control line... fortunately the Catalina manual has a diagram and instructions on how to do that. It just requires a little research and planning to get it right.
It'd really be cool if you uploaded a few pics of the job when you're finished. I, for one, would be interested in seeing how you faired. Thanks, and good luck on the project.
