More water, more units for the same dose
Adding water does not change how much peptide is in the vial, only how spread out it is. More water makes a weaker mix: the same dose takes more units, which is easier to measure when the dose is small. Less water makes a stronger mix: fewer units, a smaller injection volume, and less room for error on the lines.
The comparison above shows one vial and one dose with three water volumes. Whatever volume is used, write the resulting concentration on the vial so every later dose is worked out from the same number.