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Yes your way off.almost 1/2 wave at 15m not 20. not even close to 1/4 at 40 .Anyway  end fed  vertical 1/4 waves dont work well. unless you have a good ground radial system Also the matching network designed for about 200 ohms of a 5/8 it is only going to make the match worse at 1/4 wave . Yes you can use a tuner  and make your radio happy .But at 40 m the 2k is little more than a dummy load.Not much better on 20 but does work fairly well on 15 although it shouldn't due to the mismatch (end fed halfwave impedance is over a thousand ohms) must be some huge losses in that matching network.