Haven't experienced that - but maybe the skipper could take the slack up on the leeward sheet as the kite comes up? (careful not to sheet in and make the hoist harder). When driving, I've been working on getting most of the slack out of the sheet and having it held up so the crew can grab it and be almost home with the sheet when they're ready for it. (however, I completely forgot about working on this at Tradewinds).
That's what I do and we've never had the issue you're describing. See, skippers aren't total loads.