Still not 100% certain I understand fully now that you have mentioned the TDA Chips and the Phillips or Bose Amps but we'll give it a go.
The TDA Chips (Probably TDA7375 type) will be fitted to the 600 and 800 HU as there o/p Stage as Standard. The early Phillips Amps (external) were fitted to very early CDX and Elite Omegas ie, before Bose (in the UK). Im not too familiar with this type of set up, but Im guessing that the HU's were standard and there normal speaker output levels were fed directly to the Phillips Amp.
On the Bose set up side, its slightly different, The HU's still use the TDA Chip as its output stage but the speaker output levels are reduced to lower levels to feed the the Bose Amps input and the Car was rewired to suit the Bose Amp and its Speaker arrangements (Bose Loom) . This preset Bose output level is configured within the HU at Vehicle Manufacturer (Some HU Models, not all, can be configured by a Tech2).
If you're asking whether your ccr600 can be fitted to replace your ccr800 HU (presumably Bose set up) then no, the 600's output levels will be too high to feed the Bose Amps input.