I had to look it up and yes the Japanese dig take a dig at the 98 version. They called him zilla saying it wasn't worthy to have god in it's name.
They took further shots at him in "final wars" i believe. where they for 1.
Portrayed new york as nothing but "pimps&hos" and had a black illiterate pimp threatening to shoot a police officer. then Zilla show's up randomly.
Then, Godzilla gets to Australia. and zilla is just randomly there. they both fight, and zilla doesn't even stand a chance. He gets thrown into that famous theater then godzilla blasts him.
Ive seen alot of the old godzilla movies, but personally i like Zilla's design more than godzilla. Zilla seemed alot more realistic then godzilla's did.