Finer grained permissions for what end? Roles and groups allow you to control any non-edit permissions very well - delete/move/admin/restrict can be controlled very well, so the scope of the fine-grained permissions seems to be in the ability to control edit rights.
I've resisted any attempts to make the permissioning system more fine-grained, because it disrupts the balance between open collaboration and information lock down. In our office, we invite non-engineers into weekly developer meetings. It wouldn't be very nice if I told them to shut their traps and only listen
In the use cases I've read here in the forums and heard in the office, the ability to lock down a page for view and not edit within a branch of already trusted users seems to revolve around one major perceived problem: "What if this malicious user decided to edit this page with bad information?"
In traditional CMSes with no revision history, a malicious user can wreak a lot of havoc, so a fine-grained ACL system was necessary. In a wiki, this isn't a big of a problem - all changes are logged and are easily revert-able. There's always a balance between using technology to solve social problems, and leaving tribes to fix for the problem through social means. Wikis have generally tended to skew towards the latter.
This also doesn't take into account the technical considerations - design iterations revolving around updating the permission dialog to support fine-grained permissions have created such overly burdensome user interfaces that I've been loathe to implement them. This technical difficulty, coupled with the fact that implementation would only solve a few edge cases which come at the cost of potentially making the feature impossible to figure out for regular users ... and I just don't see the benefit of it.
I haven't yet run into an actual deployed wiki (Deki or otherwise) which suffered because of this lack of granularity - I've only seen questions from people *thinking* about deploying Deki raising these concerns (which are perfectly valid, but irrelevant once you see how Deki works)
Of course, if you launch multi-tenant Deki (treating each "branch" as an indvidual Deki instance), you can easily work around the first-level lack of granularity...