Hi
In AN11610, The windows PC application talks to the SBL through the USB to I2C/SPI Bridge (implemented with LPC43xx) via NXP’s USBSerialIO library. There is no LPCXpresso54102 USB to I2C code.
This situation is similar as AN12373 (Sorry I didn't notice you mention it in your original question)

Here we use on board LPC4322 firmware as USB-to-I2C bridge. The LPCUSBSIO is already burned into LPC4322, we just use it as bridge. that's to say, here below, we don't burn anything to on board LPC54102, just use the existing firmware ( as red arrow shows) as bridge. That's why you don't see any source code in our AN package.

LPCUSBSIO Works with MCU-Link Pro and on-board versions of MCU-Link and LPC-Link2
LPCUSBSIO is available as library format. I am afraid the source code is not open.
Jun Zhang