1) As far as I know the official TFTD patches only affect the EXE so the version doesn't matter to OpenXcom.
2) The data patches should also work in the originals. They fix map bugs like invalid LOFTEMPS, MCDs, routes, etc.
Both 2.0 and 2.1 patches also have modified GEODATA/OBDATA.DAT
Could you provide a little more details what are those bugs?