I had missed seeing the TWO levels in it, so yes it will offer 15% increase of fleet points, but not cap ship slots as it ONLY adjsts the fleet points and not the cap ship slots.
to get the phasic research to bump the cap ship slots you would have to add the following lines into the entity
researchModifier
modifierType "CapitalShipMaxSlots"
baseValue 0.000000
perLevelValue 3.000000
researchModifier
modifierType "CapitalShipMaxSlotLevel"
baseValue 0.000000
perLevelValue 1.000000
and change the
researchFloatModifiers 1 from 1 to 3
hope this helps
harpo