I think the equivalence between the two options is valid only for a microstrip line wherein the line width is not too large compared to the physical width of the real capacitor. In case of a patch antenna, however, the coupling edges between which a real capacitor could be placed is quite large (considering an SMD capacitor) and the field distribution along such edge is also not constant.
So, it might be suitable to use a real capacitor (SMD) at lower frequencies when the edges are electrically small or a local capacitance is required and a gap capacitance (or more suitably a coupling capacitance) at higher frequencies when the edges are large or a frequency dependent capacitance is needed.
In case if you want a un-complicated, low-cost, and compact high-frequency model you can better realize the gap capacitance. Here you have to analyze the required capacitance in terms of suitable gap in between the microstrip patch.
Adding to what has been said by the colleges, the use of lumped capacitor versus gap capacitor depends on the value required for the circuit. If the value is relatively large it is more suitable to use lumped capacitors otherwise the gap capacitor can be a suitable solution.