What is your experience on revising a fractured CoC bearing? We tend to change to a softer bearing --> Ceramics on polyethylene. But I don't think there is strong scientific evidence for it.
In my limited personal experience of having revised 6 ceramic liner fractures (have no experience of ceramic head fractures), I have always chosen the revision bearing surface to be ceramic on ceramic.
Choosing a softer bearing surface is potentially disastrous due to risk of third body wear from residual ceramic particles from the fractured ceramic as removing them completely may not be possible despite a sub-total synovectomy.
Although the literature on this topic is scanty, especially choice of bearing surface, you may find this review article useful
Article Revision Total Hip Arthroplasty for Fractured Ceramic Bearin...
Oxinium(Ceramised metal on HXLPE) has outperformed many bearings surface according to Australian registry in 2019 and dutch registry. Oxinium uses ceramics for Verilast. Is oxygen embedded alloy with zincornium:- resistant to roughening, less friction. A metal with durable, not brittle.achieves biocompatibility. Best for any revision hip replacement surgery. With longer duration of 20 years.The choice of double mobility ( oxinium) bearing is a game changer at any revision surgery.
Using a hard on soft bearing surface in this situation will cause accelerated PE wear and failure. The use of a metal head in such situation has been shown in many case studies to cause severe metallosis. Both of the above due to remaining microscopic ceramic shards. The only options remains COC