I don't feel qualified to give a firm answer (perhaps we have a psychiatrist somewhere in the ranks?) but an argument might be made for something like that. There's a lot of variance in people's different experiences of DID. But I couldn't say how commonly it is linked to adult trauma.
From what I've read of WC it seems like stress may be a trigger point for him. I would not be surprised to learn that various stressful events were happening in the lead-up to these crimes. A death in the family, a break in his controlled routine (lockdown, time off work), combined with reduced ways to cope with stress (e.g. difficulty getting a sex worker, or sex workers no longer being "enough" to meet his needs?) - I suspect these are factors.