Oh, I have no doubt there were plenty of character-naming websites in the '90s, because a lot of the Internet was built by gamers, and a lot of name-generating sites are made with gamers in mind. Behind the Name has existed since 1996; even if its random name generator hasn't been around that long, you would've just had to search it manually. Then there's another of my favorites,
20000-Names.com, which dates to 1999 and still looks it.
Even before that, we had our own version of the Internet, which we called "books." I think I still own a really thick book of baby names that I bought ages ago to help me come up with character names. I don't recall if its names were as diverse as I would've preferred, but there were other sources; for instance, I got Japanese names from a booklet of Japanese composers that my classical-radio-host father had, and my college textbooks on world history have been a good source of non-Western character names as well. I also went to a university with a very diverse student body, and I drew names from its student directory from time to time.
There have always been plenty of ways to find diverse character names. So don't make excuses for the people who just couldn't be bothered to make the effort.