diff --git a/include/verilated_std.sv b/include/verilated_std.sv
index e2862ed7c..13c3f6ad6 100644
--- a/include/verilated_std.sv
+++ b/include/verilated_std.sv
@@ -140,6 +140,7 @@ package std;
     } state;
 
     // Width visitor changes it to VlProcessRef
+    // V3Name is hardcoded not to rename this variable
     protected chandle m_process;
 
     static function process self();
@@ -193,7 +194,6 @@ package std;
     // Two process references are equal if the different classes' containing
     // m_process are equal. Can't yet use <=> as the base class template
     // comparisons doesn't define <=> as they don't yet require --timing and C++20.
-    // V3Name may remove the __PVT__ from this text.
     // verilog_format: off
 `ifdef VERILATOR_TIMING
 `systemc_header_post
@@ -201,19 +201,19 @@ template<> template<>
 inline bool VlClassRef<`systemc_class_name>::operator==(const VlClassRef<`systemc_class_name>& rhs) const {
     if (!m_objp && !rhs.m_objp) return true;
     if (!m_objp || !rhs.m_objp) return false;
-    return m_objp->__PVT__m_process == rhs.m_objp->__PVT__m_process;
+    return m_objp->m_process == rhs.m_objp->m_process;
 };
 template<> template<>
 inline bool VlClassRef<`systemc_class_name>::operator!=(const VlClassRef<`systemc_class_name>& rhs) const {
     if (!m_objp && !rhs.m_objp) return false;
     if (!m_objp || !rhs.m_objp) return true;
-    return m_objp->__PVT__m_process != rhs.m_objp->__PVT__m_process;
+    return m_objp->m_process != rhs.m_objp->m_process;
 };
 template<> template<>
 inline bool VlClassRef<`systemc_class_name>::operator<(const VlClassRef<`systemc_class_name>& rhs) const {
     if (!m_objp && !rhs.m_objp) return false;
     if (!m_objp || !rhs.m_objp) return false;
-    return m_objp->__PVT__m_process < rhs.m_objp->__PVT__m_process;
+    return m_objp->m_process < rhs.m_objp->m_process;
 };
 `verilog
 `endif
diff --git a/src/V3Name.cpp b/src/V3Name.cpp
index e38c53912..bcc9efe11 100644
--- a/src/V3Name.cpp
+++ b/src/V3Name.cpp
@@ -90,7 +90,11 @@ class NameVisitor final : public VNVisitorConst {
         rename(nodep,
                ((!m_modp || !m_modp->isTop()) && !nodep->isSigPublic()
                 && !nodep->isFuncLocal()  // Isn't exposed, and would mess up dpi import wrappers
-                && !nodep->isTemp()));  // Don't bother to rename internal signals
+                && !nodep->isTemp()  // Don't bother to rename internal signals
+                // Special case, hardcoded m_process references in verilated_std.h and elsewhere
+                && !(m_modp && m_modp->name() == "std__03a__03aprocess"
+                     && nodep->name() == "m_process")));
+        iterateChildrenConst(nodep);
     }
     void visit(AstCFunc* nodep) override {
         if (!nodep->user1()) {
@@ -153,17 +157,6 @@ class NameVisitor final : public VNVisitorConst {
             iterateChildrenConst(nodep);
         }
     }
-    void visit(AstSystemCSection* nodep) override {
-        // include/verilated_std.sv assumes that V3Name does renaming of std::process;
-        // if V3Name does not, remove the __PVT__.
-        if (m_modp && m_modp->name() == "std__03a__03aprocess") {
-            VMemberMap memberMap;
-            if (memberMap.findMember(m_modp, "m_process")) {
-                nodep->text(VString::replaceSubstr(nodep->text(), "__PVT__", ""));
-            }
-        }
-        iterateChildrenConst(nodep);
-    }
 
     //--------------------
     void visit(AstNode* nodep) override { iterateChildrenConst(nodep); }
diff --git a/src/V3Randomize.cpp b/src/V3Randomize.cpp
index 0cce64707..b88cddbfe 100644
--- a/src/V3Randomize.cpp
+++ b/src/V3Randomize.cpp
@@ -5496,7 +5496,7 @@ AstFunc* V3Randomize::newSRandomFunc(VMemberMap& memberMap, AstClass* nodep) {
         // For std::process, seed the per-process RNG via m_process->srandom()
         // For regular classes, seed the per-object RNG via __Vm_rng
         if (basep->name() == "process") {
-            funcp->addStmtsp(new AstCStmt{basep->fileline(), "__PVT__m_process->srandom(seed);"});
+            funcp->addStmtsp(new AstCStmt{basep->fileline(), "m_process->srandom(seed);"});
         } else {
             funcp->addStmtsp(new AstCStmt{basep->fileline(), "__Vm_rng.srandom(seed);"});
             basep->needRNG(true);
diff --git a/test_regress/t/t_process_rand_state_public.py b/test_regress/t/t_process_rand_state_public.py
new file mode 100755
index 000000000..59bb211b6
--- /dev/null
+++ b/test_regress/t/t_process_rand_state_public.py
@@ -0,0 +1,22 @@
+#!/usr/bin/env python3
+# DESCRIPTION: Verilator: Verilog Test driver/expect definition
+#
+# This program is free software; you can redistribute it and/or modify it
+# under the terms of either the GNU Lesser General Public License Version 3
+# or the Perl Artistic License Version 2.0.
+# SPDX-FileCopyrightText: 2026 Wilson Snyder
+# SPDX-License-Identifier: LGPL-3.0-only OR Artistic-2.0
+
+import vltest_bootstrap
+
+test.scenarios('simulator')
+test.top_filename = "t/t_process_rand_state.v"
+
+if not test.have_solver:
+    test.skip("No constraint solver installed")
+
+test.compile(verilator_flags2=['--timing --public-flat-rw'])
+
+test.execute()
+
+test.passes()