Looking to buy one of the keyboards mentioned in the title.

Was wondering if the styles handle inversions correctly? I have a less expensive KB with some styles, and if I play C-E-G in the lower part of the KB, the accompaniment sounds the same as when I play E-G-C or G-C-E. In other words, the chords C, C/E, and C/G all are treated as C.

Does a C/E actually sound like a C/E in the styles on the more expensive Yamaha PSRs?