While I can (unfortunately) see this happening - it seems incredibly futile and pointless to try and fight such an arms race. When AI-supported writing becomes the norm having students write essays without AI-assistance will be like trying to force students to do complex arithmetic without calculators.
Universities and schools need to accept that writing essays without AI support will simply not be a useful skill anymore, much like doing complex arithmetic without a calculator is not a useful skill anymore. Instead, they should focus on teaching students how to use AI support as a tool to write better, more comprehensive texts, rather than try and force students to write without it. That will ultimately make the students more productive members of a society in which AI supported writing is ubiquitous.
Universities and schools need to accept that writing essays without AI support will simply not be a useful skill anymore, much like doing complex arithmetic without a calculator is not a useful skill anymore. Instead, they should focus on teaching students how to use AI support as a tool to write better, more comprehensive texts, rather than try and force students to write without it. That will ultimately make the students more productive members of a society in which AI supported writing is ubiquitous.