"Lime releases nutrients that add flavor"
Lime releases nutrients IF AND ONLY IF
your soil is acidic enough that the acid is locking up the nutrients. At pH below 6.0 NPK tend to be in indissoluble forms that the plant cannot access. In that case, adding "lime" will increase the pH and release the nutrients.
Likewise, high pH can lock up nutrients, though different ones. At a pH above 7.5, iron, manganese, and phosphorus are less available. In that case, adding lime would just make the situation worse.
Whether adding/releasing more nutrients improves the flavor is a complicated question:
https://www.theurbanfarmers.org/how-to-i ... uit-taste/
It is proven that fruits grown in balanced organic soil contain higher levels of sugar and higher levels of nutrients, than fruits grown in industrial farm soil that is optimized for rapid growth but not nutrients. While higher sugar makes for a sweeter fruit, higher levels of minerals produces a more complex taste. That is why successful wine makers monitor many factors, including the mineral content of their soil, carefully.
https://www.monroeworks.com/organic-fert ... izers.html
Nutrition and Flavor:
Chemical fertilizers produce fruits and vegetables with lower nutritional value and less flavor. ...The lack of trace elements in chemical fertilizers not only means an increase incidence of plant diseases, but it also means there is less nutrition from the fruits and vegetables for the consumer. Trace minerals are an important component of healthy nutrition. The lack of trace elements in chemical fertilizers not only means an increase incidence of plant diseases, but it also means there is less nutrition from the fruits and vegetables for the consumer. Trace minerals are an important component of healthy nutrition. ... As for flavor, most everyone will agree thereâ€™s no comparison between the taste of fruits and vegetables grown organically and those grown chemically.
This improved flavor is probably due to the superior nutritional content, including trace minerals, of organically grown plants.
Note that none of this is providing any data. Therefore think of it all as opinion. Fertilizer vendors usually claim that their products improve the taste of your veggies, but that is marketing. I think it is an open question and the answer (as for most gardening questions) is likely to be it depends. Whether adding nutrients improves the flavor of your fruits and veggies surely depends on what nutrients, how much, how and when added, what the condition of the soil was before they were added etc. It may also depend on temperatures at the time of adding, moisture content of the soil, etc.
Also "improving" the flavor is a subjective judgement. If the first quote is right, then increasing the organic richness of your soil may make your tomato fruits sweeter. But some people like their tomatoes sweet and some people like them tart. So they would judge differently whether the flavor had been improved. These are not easy questions to answer....
However it is clear that it is not a simple direct process... adding fish emulsion to the soil does NOT make your veggies taste fishy. The only way that would happen is if you were spraying fish emulsion on to something like lettuce, say as a foliar feed. Then there might still be particles of fish emulsion on the lettuce leaves you were eating. That stuff is difficult to rinse off, being oily. IN THAT CASE (only), your lettuce could taste fishy.