FTTH ONTs and routers

It had been my impression that ONTs, like most other consumer modems, came with built-in router capabilities (along with ATA for voice). The assertion that ONTs have built-in routing capabilities has been challenged. Can anyone confirm whether ONTs generally have routing (aka: home router that does the PPPoE or DHCP and then NAT for home) capabilities? Are there examples where a telco has deployed ONTs with the router built-in and enabled ? Or would almost all FTTH deployments be made with any routing disabled and the ONT acting as a pure ethernet bridge ? (I appreciate your help on this as I am time constrained to do research).