Proposed resolution:

This wording is relative to N4928.

1. Modify [range.lazy.split.outer] as indicated:

   constexpr outer-iterator(outer-iterator<!Const> i)
     requires Const && convertible_to<iterator_t<V>, iterator_t<Base>>;
   

   -4- Effects: Initializes parent_ with i.parent_, and current_ with std::move(i.current_), and trailing_empty_ with i.trailing_empty_.

It seems the const-converting constructor for lazy_split_view's iterator fails to propagate trailing_empty_ from the argument, which effectively results in the trailing empty range getting skipped over:

auto r = views::single(0) | views::lazy_split(0); // r is { {}, {} }
auto i = r.begin();
++i; // i.trailing_empty_ is correctly true
decltype(std::as_const(r).begin()) j = i; // j.trailing_empty_ is incorrectly false
auto k = r.end(); // k.trailing_empty_ is correctly false, and we wrongly have j == k