Hi
I don't know where is the misunderstanding but both schematic and datasheet are correct.
I checked datasheet, U0_RXD is pin 19
https://www.nxp.com.cn/docs/en/data-sheet/LPC81XM.pdf
In ISP mode, pin PIO0_0 is connected to function U0_RXD and pin PIO0_4 is connected to function U0_TXD on the USART0 block.

In LPC812 MAX board, the connection is the same as schematic.


Have a nice day,
Jun Zhang