To use your analogy, what I meant was that a Connecter could store only one of those "threads," kind of like how a Brute could, with practice, store strength from only an arm, for example.
Also, we know a gold Ferring can't heal faster from a wound if he stores while injured and then taps all of that (though I don't know why he wouldn't have some reserves before getting injured). However, what if he stored from his entire body (assuming he doesn't bleed out while storing), and then tapped health only in the area of the wound? I can't really think of a situation where this would apply, but maybe Bloodmakers could economize with health by tapping only in the injured area.