Hurtado’s view on the matter evolved and he came to accept that the early LXX used the divine name. In his most recent post on the subject (in agreement with the leading specialists on the topic Emanuel Tov and Anthony Meyer) Hurtado correctly stated that the practice of replacing the divine name with kyrios took place in the second century CE.
https://larryhurtado.wordpress.com/2019/05/07/yhwh-texts-and-jesus-a-follow-up/#comments
It’s also worth noting the first century fragment of Leviticus with the divine name transliterated as Yaho (4Q120) was described at publication as an excellent representative of the early LXX tradition. This form of the divine name is the same as that which survived in early Christian name lists called onomastica showing that it was in use by the early Christians.