The sample is not more concentrated, it is just a representative aliquot of tank, or tap water at the moment taken.
Over the years chemists have determined the most efficient sample size to use, which reacts with a small amount of reagent (testing agent) (a drop of so), and give a concise and "obvious" result. These chemicals agents (dyes and reacting solutions) are expensive, and only a small amount is needed to give a sufficient reaction.
I worked as a chemist in a water facility that pumped hundreds of millions of gallons of water per day. We used similar tests to determine the parameters of those millions of gallons. The efficacy these type tests was constantly being evaluated by experts at EPA and other agencies, and our own proficiency with these tests regularly evaluated.
We mixed many of our own reagents daily from dry substances, and went through what is in a single aquarium box kit almost every day.
We always ran a standard (known chemical concentrations) unit, a DI sample(free of all components), against our water samples to check our own work. Many simple aquarium tests kits remove these steps.
We also rinsed our cuvettes (test tubes) with DI water at least three times before and after each sample test run to remove any residual chemical in the glassware (a step which helps with accuracy, and many aquarist don't do).
When dealing with such tiny amounts, this lack of rinsing is I believe can screw up many aquarists results.