I believe the OP is referring to the fact that the US reserves 5,400 H-1B visas annually to Singaporean citizens. I have no idea whatsoever whether or how quickly the special Singaporean cap is reached. However, this potentially gives Singaporean citizens a bit of an advantage in getting their foot in the door in the US on their way to a GC.
However, this only provides an advantage in terms of potentially being able to bypass the general H-1B cap and qualify for the specific Singaporean H-1B cap. This may make it easier to get started in the US but the GC process proper--which starts after getting the H-1B in general--is the same for Singaporeans as for anyone else.
Note also that this special cap is available only to Singaporean citizens, not Singaporean PR's. Thus the OP would first need to become a Singaporean citizen (entailing losing Indian citizenship just as happens when an Indian citizen acquires any other nationality), and then apply for an H-1B.
Probably easier just to keep Indian nationality and wait for the regular H-1B cap to be available.