The answer to your original question, as has already been stated, is no. You cannot use the same bypass arrangement with an SMPS that you would use for a linear supply.
An SMPS is a challenging and complex circuit. You cannot rely on the test circuits from a datasheet to be suitable for an application period. If you choose to do so then you get what you deserve. There are details of the design and the component selection that are not obvious from the schematic.
I made no claim about the capabilities of the engineers at Sharp. I do claim that users are responsible for the results of appropriating a circuit diagram from a datasheet and substituting components without undertstanding the implications of doing so. Clearly you did very little in the way of analysis of this design.
Single sided circuit boards may be appropriate in many contexts. It is my opinion that an SMPS with more than 1 A of output current is not one of those places. You need thick traces and very low impedance pathways to squeeze performance and efficiency from an SMPS. You need very careful consideration of the magnetics, the diode, and the ESR of the capacitors. We can discuss these things if you like, but you seem more interested in defending your design than in figuring out how to improve it.
So, all thing considered, you might as well solve your own problems since you don't seem disposed to listen or learn.