Fix #3868: Remove operator!= to enable P2468R2 rewritten candidate synthesis

Under C++20 P2468R2, a hand-written operator!= suppresses the compiler's
rewritten-candidate synthesis for operator==, preventing heterogeneous
comparisons like `std::string s; json j; s == j;` from compiling.

Fix by removing the hand-written operator!=, allowing the compiler to
synthesize != as !(a==b) in all language modes (C++20 member functions
and pre-C++20 friend functions).

Behavior change: operator!= now returns !(a==b) unconditionally, including
for special values like NaN and discarded. This means:
- NaN != NaN now returns true (matches IEEE-754 semantics)
- discarded != x now returns true for any x (matches !(discarded == x))

This also fixes underlying defects in previously-working code:
- Restores direct == comparison for views vs json (reverts std::ranges::equal
  workaround added in PR #3950 to dodge this bug)
- Re-enables std::string == json comparisons (uncomments check in
  unit-constructor1.cpp)

Fixes: #3868, #3979

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Signed-off-by: Niels Lohmann <mail@nlohmann.me>

include/nlohmann/json.hpp

@@ -3776,17 +3776,6 @@ class basic_json // NOLINT(cppcoreguidelines-special-member-functions,hicpp-spec
         return *this == basic_json(rhs);
     }
 
-    /// @brief comparison: not equal
-    /// @sa https://json.nlohmann.me/api/basic_json/operator_ne/
-    bool operator!=(const_reference rhs) const noexcept
-    {
-        if (compares_unordered(rhs, true))
-        {
-            return false;
-        }
-        return !operator==(rhs);
-    }
-
     /// @brief comparison: 3-way
     /// @sa https://json.nlohmann.me/api/basic_json/operator_spaceship/
     std::partial_ordering operator<=>(const_reference rhs) const noexcept // *NOPAD*
@@ -3892,10 +3881,6 @@ class basic_json // NOLINT(cppcoreguidelines-special-member-functions,hicpp-spec
     /// @sa https://json.nlohmann.me/api/basic_json/operator_ne/
     friend bool operator!=(const_reference lhs, const_reference rhs) noexcept
     {
-        if (compares_unordered(lhs, rhs, true))
-        {
-            return false;
-        }
         return !(lhs == rhs);
     }