Hi @Harry_Zhang ,
Yes, we understand that LPUART can run in the mode you mentioned without data lost/frame error.
But based on our past experience, 32.768KHz is not enough to run 9600 baud rate, unless the IC itself is specially designed for this. Usually if it is, it will be written in the file.
For example in silicon lab efm32zg datasheet:

Or for Nuvoton M480: https://www.wpgdadatong.com/blog/detail/40814
So we wanted to confirm if mcxc142 can actually do this.