I made the mistake about ten years ago of condemning an installation that had a plastic discharge and termination into a soil stack. To my embarressment the customer pitched up the with print out from building regs to explain the changes - I didn't know.
The discharge does not have to be metal, just 'preferrably metal'. However ABS plastic is specified I think (from memory), which is different to polybutylene in Hep2O, so your concern is justified. In addition I think the 'meltdown' of Hep20 is lower than 136 degrees centigrade, which is the boiling point of water at 3 bar. Hence, Hep not suitable.
With regard to the termination - provided one end of the discharge is visible e.g. tundish, then it can be terminated into a stack.
Be careful about the unvented situation and its gas relation - if it is notified through Corgi or Gas Safe, then customer thinks its a gas related issue. Just had a letter from a solicitor wanting a 'corgi' notification cert for an unvented installation I did a five years ago - customer is moving house.
However, in your instance, just record it as a non-gas related issue, that does not comply with building regs section G3.