I agree 100% on the necessity for a string on the skeg blade - another thing that almost all experienced paddlers would agree is necessary but that manufacturers don't put on kayaks. I guess they don't want to have prospective customers thinking about 'problems' ??
I don't know what is best for skeg control wires.
Some thoughts:
Most stainless will corrode without air contact, so it's generally a poor idea to put grease or oil on stainless. Fussy sail and power boat owners get upset if people touch stainless fittings with sunscreen-contaminated hands!

However, inside the skeg tube I don't know if that applies.
Some online advice says that any sort of grease or oil will tend to collect grit.
Other advice is to use a dry lubricant or a wax like furniture polish on the cable.
I have used spray silicone lubricant - which seems to be about 99% volatile solvent - to try to make a cable run more easily. Turned the boat over and sprayed it into the skeg box and let gravity and a lot of back-and-forth 'exercising' of the skeg cable get the lube into the tube. It seemed to help but was a pretty crude approach.
I've found that the setscrew at the control knob tends to crush/deform the cable a bit. So I hesitate to pull the cable out unless I have a plan to put in a new cable. But some folks seem to pull the cable and lubricate ,flush out the tube, etc. as almost routine maintenance, so I may have had bad luck with the few I have worked on.
I try to avoid the adage: "If it ain't broke, I'll fix it till it is!"
I think the KS line control skeg is a good idea - spring in the skeg to push the blade into the water, thin Spectra cord to retract. Time will tell how they hold up.
https://kajaksport.fi/products/skeg/skeg-system-4/skeg-system-4-complete/