Could Japan seek peace after the Philippine Sea?

Should Japan have sued for peace after the Battle of the Philippine Sea?

It might have been strategically sensible, but Japan's leadership would not have done so.

The question tests whether the Philippine Sea should have prompted Japan to leave the war. Seeking peace might have been strategically sensible after such a defeat, but Japan's leadership would not have taken that course at this point. The exchange distinguishes recognition of a worsening military position from the political willingness to negotiate an end.