I use the NHS3100 dev kit that include the LPC-Link-2 probe with the LPCXpresso v8.2.2 Build 650 and the RELEASE-MRA2-11-NHS3100 firmware. It's very annoying that this setup don't drive the reset signal of the NHS3100 target, forcing to use the manual reset button all the time. I have verified with the JLink.exe that the r0 and r1 command effectively drive the reset signal low and high, so there is no hardware issue here.
As I understand, LPCXpresso load it own firmware LPC-LINK2-CMSIS-DAP V5.173 into the LPC-Link-2 booting in DFU mode to make it a probe of type LinkServer, so LPCXpresso have a complete control over the LPC-Link-2 probe. How to make it drive the reset signal before trying to connect to the core ?