You should have to actually pay for works that cost money, but authors don't have the right to nitpick and five tune the ways that their stuff is used so long as the uses aren't copying and redistributing their work.
Authors have tried to use excessive control of copyright many times and get shot down every single time with things like web scraping and search engines. Demanding payment for AI training specifically is a massive grift and overreach from a small group of people trying to hold back progress so they can make a quick buck.