An Evangelical in churchmanship, as his appointments show, much of his career saw him involved with providing spiritual care to students through the Cambridge and Oxford Pastorates.
He nonetheless maintained friendships with clergy of other ecclesiastical leanings, most notably with John AT Robinson the author of Honest to God, whose views caused controversy among more traditional believers.
[6] Although many Bishops of Stepney have gone on to higher office in the Church of England, and Lunt's career in the Church had involved a number of distinguished appointments, his comparatively late elevation to the episcopate - and relatively low profile in comparison to his immediate predecessor and indeed successor - may have militated against his translation to a more senior position and even contributed to the nickname "Evered the Unready" his clergy gave him.
[7] He also supported Cicely Saunders in persuading various London authorities of a need for support of the terminally ill through the hospice movement.,[8] and was instrumental in the setting up of St Christopher's Hospice in South London, as the following excerpt from its history shows: "Soon a small but enthusiastic group of supporters had been formed, including: Dr Glyn Hughes (author of a recent report on the state of terminal care in Britain); Betty Read (head almoner at St Thomas’s Hospital); and Jack Wallace (an evangelical friend and lawyer).
It was then joined by Evered Lunt (Anglican Bishop of Stepney); Sir Kenneth Grubb (of the Church Missionary Society); and, very significantly, Dame Albertine Winner (Deputy Chief Medical Officer).