Totally logical, especially with some sort of thermal mass, as you can throttle down the clock when quiet to cool down after, I used this concept in my first sci-fi novel where the AI was aware of its temperature for these reasons. I run my Pico2 board in my MP3 jukebox at 250Mhz, it has been on for several weeks without missing a beat (pun intended)

LLM are memory-bandwidth bound so higher core frequency would not help much.