The Van Gogh Cafe had been tenants of Christ Church on Brixton Road. Given the church's current success, evidenced by their expansion to a new site for what is known as church planting, they might prefer to keep the space for their own use rather than lease it to a cafe.
I think you have put what I was trying to say better.
By the way there is undoubtedly a book to be written about Christ Church - especially the major upgrade in 1902-4 when the very imposing church hall and new church were built .
I posted some stuff on the Brixton History thread:
General Brixton history - photos, stories etc
It should be noted that Christ Church has struggled to survive since at least the 1970s. In the early 1980s the congregation had fallen to 7 I believe, and the Diocese moved to make the church redundant.
The surviving parishioners fought back, and a very progressive vicar called Nigel Godfrey was appointed to try to save the situation.
At that time the church hall (see link) was hived off and became the Lambeth Co-operative Development Agency.
Similarly the Van Gogh Cafe was created.
Even with these new developments, the church never had enough attendance to justify using the main part of the building (also shown in my link).
So they had services in the entrance hall - arranged as a worship space seating 100 or so.
I used to go there in the last 1980s, and what you got were "choruses" instead of hymns - accompanied by a piano or maybe a guitar.
So essentially the church was "evangelical" Anglican - as in fact it was founded to be.
The new arrangements seem to be a bit of a break from the past - but if I may cynically say the Church of England is currently in a position of seeking minorities to serve, since the majority of the population would never dream of going to church - unless possibly for a wedding or funeral. Of course some church schools give preference to church member's children too - but falling rolls suggest the demographics may make this irrelevant.