Whilst I admit to being very hard to please where preserved lines are concerned; I've always felt re the Lakeside & Haverthwaite, "they shouldn't have bothered" (and I have seen that undertaking more than once, though not travelled on it). I'm rather allergic to preserved lines which are totally physically isolated (as distinct from actual-physical-connection or not, at junction points with the main system) -- so the L & H is for that reason, a "loser" for me; and it is indeed to my mind, woefully short. If it could have been possible to preserve the whole of the branch: can see self greatly liking it -- set basically in a lovely part of the world, even if views might be better (dratted trees !
-- often [not without reason] found a scenic detriment these days). Always fearsome obstacles, admittedly, to any reopening south of Haverthwaite -- a big bridge gone, and a lot of the formation obliterated by road construction.
And when the branch was in normal service, trains joined the main line at station-less Plumpton Junction, and ran the couple of miles along the main, to / from Ulverston. That would be unthinkable nowadays. A similar issue has been addressed on the Isle of Wight, with Smallbrook Junction having come into being; but don't think that any equivalent of that has been possible, administratively or practically, on the "mainland".