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Vinegar (acetic acid) neutralizes your kalk mix a bit, giving you a lower pH. At lower pH, bicarbonate does not convert as readily into carbonate. This is good, since the calcium in your water binds to free carbonate and precipitates out as white solid. The solid form is useless to you.

However, the benefits of avoiding this solid form in your dripper are limited. No matter how much calcium you dissolve in your dripper, the same pH effects will apply in your tank. This means that when your drips hits the tank water, they can still form precipitate if your kalk mix is too concentrated or if your tank water is too hard, or if your pH is much higher than it should be.

So the addition of acetic acid provides a marginal improvement over straight limewater since it lets you get more calcium out of your kalkwasser than you normally would. The benefit you gain is simply more calcium added to your tank per gram of kalk added to your doser, and has less to do with the total amount of calcium you are giving your tank.

A less economical solution that would accomplish the same effect would simply be to get a larger resevoir and drip faster, but this might outpace your evaporation rate.