LCUP: convergence?

In my analysis of the various possible uses of LCUP, I
see a strong requirement for the protocol to provide
"eventual convergence" of the synchronized content.
However, in reviewing the LCUP I-D (see previously
posts for details), I see that it provides for only
"lossy convergence".  That is, LCUP I-D allows the
synchronized content to diverge.  It is not clear to
me that "lossy convergence" meets the needs of the
applications described in the document.

What's convergence level(s) are intended to be
supported by this protocol? 

Kurt