Password strength is 100% irrelevant to a keylogger.
Reusable passwords are horribly outdated, ancient, insecure technology that should have been abolished a long time ago before the Internet was commercialized and privatized and became a “Wild Wild West” with viruses, malware, keyloggers, and ubiquitous network sniffing devices.
What would have solved this problem and made it a non-issue would have been two-factor authentication. I believe that Google makes this available to its users but Google is a pioneer in this field. Precious few other popular sites offer two-factor authentication. I suggest, if you have any interest in the security of your accounts, that you inquire after using this enhanced security method, particularly in sensitive areas such as your online banking. If more people asked, nay, demanded more account security, then perhaps it would be offered more widely.