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I run 8# mono off my downriggers to 6# seagar floro "leader material" and it's the leader that REALLY makes a huge difference I have found. I use Chamberlain releases and don't get any line damage with those. That said, as long as the leader is long enough that the fish aren't seeing your 14# test in the area of the lure, I think you are OK.
Although most of my lines are line counter, I don't rely heavily on them. It's easy to guesstimate how far back your line goes (and it's not an exact science anyways) and my DRs count how far down I'm going.
if your going to run a heavy line and a thinner flouro tippet you might want to look at stretchy lines like cortland camo, they act more like a shock absorber and help cushion the non stretchy flouro. been the way ive set up for years. i like 10 to 12 pound on the camo and 4 to 6 on the flouro tippet. usually can find it at kittery
I run 10# on my rods with a 6# flouro leader. I wouldn't use the line counter for anything other than a guesstimate as to how far your line is out. Big John nailed it on the head the first hundred and last hundred are very different. It just really lets you return your line to the same depth as you previously had out. Say you catch a fish and your line counter reads 175, when you are ready to let out again you can run your line back out to 175 on the counter and your lure should be at the same depth. That is all I really use it for, just a reference tool.