I'm not sure there was EVER a time when the Grammy awards were relevant artistically.
When I was growing up, Grammy awards were given to people like Nancy Sinatra instead of the Beatles. It's pretty rare that a Grammy is given to something I like, with the possible exception of the traditional blues category.
I just think you have to look elsewhere for credibility. I don't know whether it is the money or the "industry" or the sheer diversity of musical experience, but I've just never seen the Grammy awards list or show as very valuable.