The GR-1SF kit is supplied with two 0.047uF caps. The diagram has them linked in series to reduce the cap value, 2 x 0.047uF in series is equivalent to 0.0235uF, if you want a smaller value rather than buying another capacitor. Given it's a hollow body I thought that a single 047 cap could be a bit dark, so showed on the diagram how it could be wired to get a 022 value. With a bass like yours a 0.047uF cap will be fine, hence a single cap on your diagram. If you wanted an even darker range for your tone you can use a 0.068uF or even 0.1uF cap.
Vintage vs Modern wiring is very much personal taste, style and often instrument specific... and only your ears can tell what's right. The treble and tone changes will be moe noticeable on guitar than bass, but still subtle. Vintage has more interaction between volume and tone, but if you typically run everything at ten then there's not a lot of difference. The bass players on here may be able to offer their experiences of the differences.
With a trapeze style tail you usually drill a small hole through for the ground wire so it can make contact under the tail plate. As long as the tail plate covers where the wire comes through you won't see it, and a loop of bare wire under the plate will ensure good contact etc. Just make sure the hole is not too close to the strap pin. Don't use braided wire for the tail ground, a piece of the kit supplied insulated wire is better in this case.