[core]Align naming of members and function in core_impl (#32659)

### Details:
 - Align naming of "core_impl" classes members

### Tickets:
 - N/A

---------

Signed-off-by: Raasz, Pawel <[email protected]>

Author: praasz

src/inference/src/cpp/core.cpp

@@ -104,7 +104,7 @@ std::shared_ptr<ov::Model> Core::read_model(const std::string& model, const ov::
 
 CompiledModel Core::compile_model(const std::shared_ptr<const ov::Model>& model, const AnyMap& config) {
     OV_ITT_SCOPED_REGION_BASE(ov::itt::domains::OV, "Compile model");
-    return compile_model(model, ov::DEFAULT_DEVICE_NAME, config);
+    return compile_model(model, ov::default_device_name, config);
 }
 
 CompiledModel Core::compile_model(const std::shared_ptr<const ov::Model>& model,
@@ -119,7 +119,7 @@ CompiledModel Core::compile_model(const std::shared_ptr<const ov::Model>& model,
 
 CompiledModel Core::compile_model(const std::string& model_path, const AnyMap& config) {
     OV_ITT_SCOPED_REGION_BASE(ov::itt::domains::OV, "Compile model");
-    return compile_model(model_path, ov::DEFAULT_DEVICE_NAME, config);
+    return compile_model(model_path, ov::default_device_name, config);
 }
 
 #ifdef OPENVINO_ENABLE_UNICODE_PATH_SUPPORT
@@ -279,8 +279,8 @@ RemoteContext Core::create_context(const std::string& device_name, const AnyMap&
     OPENVINO_ASSERT(device_name.find("BATCH") != 0, "BATCH device does not support remote context");
 
     OV_CORE_CALL_STATEMENT({
-        auto parsed = parseDeviceNameIntoConfig(device_name, params);
-        auto remoteContext = _impl->get_plugin(parsed._deviceName).create_context(parsed._config);
+        auto parsed = parse_device_name_into_config(device_name, params);
+        auto remoteContext = _impl->get_plugin(parsed.m_device_name).create_context(parsed.m_config);
         return {remoteContext._ptr, remoteContext._so};
     });
 }
@@ -292,8 +292,8 @@ RemoteContext Core::get_default_context(const std::string& device_name) {
     OPENVINO_ASSERT(device_name.find("BATCH") != 0, "BATCH device does not support default remote context");
 
     OV_CORE_CALL_STATEMENT({
-        auto parsed = parseDeviceNameIntoConfig(device_name, AnyMap{});
-        auto remoteContext = _impl->get_plugin(parsed._deviceName).get_default_context(parsed._config);
+        auto parsed = parse_device_name_into_config(device_name, AnyMap{});
+        auto remoteContext = _impl->get_plugin(parsed.m_device_name).get_default_context(parsed.m_config);
         return {remoteContext._ptr, remoteContext._so};
     });
 }