I believe that the R2400 actually replaced the R2200 and the Epson R2880 was the replacement for the R1800. I have all four of those printers and that is what I found in my purchase. Both the R1800 and the R2880 uses an actual glossy cartridge and the R2200 and R2400 does not.
The progression was R2200 - R2400 - R2880 - and now R3000
The R1800 was replaced by the R1900 which is still current.
That is the correct lineage except that it was 2200, not R2200.