Thank you for the information. Since everything was working normally on Wednesday and you then found that you had been logged out of Opera on both your Android phone and your PC on Thursday, with your saved passwords missing, it may indicate that your Opera account was signed out unexpectedly or that Opera Sync encountered an issue.

Most likely a browser cache issue or an extension (especially an ad blocker/privacy tool) is suddenly conflicting with the New York Times website.

Try opening the article in a private/incognito window; if it works there, clear your browser cache or disable extensions one by one.