Should there be separate Ramachandran plots for an amino acid in different contexts?
The phi and psi dihedrals describe the dihedral on both sides of the c-alpha of a single amino acid, and do not involve any angles of the neighboring amino acid. 

The Ramachandran plot is something generated from a set of protein structures, an empirical data set. The top graph represents the dihedrals found for all non-glycine residues in a set of structures. You can filter this for proline only, and you'd get the bottom graph. The top cloud of dihedrals represents those found in beta-sheets, and the bottom cloud those for alpha-helices. Sequence (the amino acid before or after) doesn't really matter that much for what's allowed (although we cannot directly deduce this from the data in those graphs). 

If you look a little bit more into the structure of helices and sheets you'll also find out why that's the case. In beta sheets the sidechain of the +1 residue is pointing completely the other way, and also in helices there's little interaction between the sidechains of subsequent residues. Secondary structures are built using the amides, not with the sidechains.