onnxruntime

Revert to err logging instead of LOGS_DEFAULT macro (#22720)

Revert to err logging instead of LOGS_DEFAULT macro due to issue seen
during testing. "onnxruntime::logging::LoggingManager::DefaultLogger
Attempt to use DefaultLogger but none has been registered."

### Description
Revert part of PR suggestion to prevent crash for scenario seen in
#22699. Previously we had tested w/o this macro

### Motivation and Context
Previous PR #22699 it was suggested to use LOGS_DEFAULT() but that does
not work during early init. Safer to use std::cerr instead like the
original PR had it.