Yeah! the fluke 125 can see regular clock type pulses but to see the irregular type signals you need to know how to use the "trigger" properly.
This is where I say a simple digital logic probe can be useful in repair works and no need to worry about missing pulses.
If you can, use the XSCL rising edge as trigger source and single shot mode [a few iteration needed or reversely use one xdata line as trigger source and capture the clock as confirmation in single shot mode]. Or just use a simple digital logic probe.
Of-course, those with logic analyser will favour using it.
And best to manipulate it to the LCD test screen program so that there are more activity on the pins on the vertical test bars display.
If it sounded too complex, just borrow one good LCD and plug it in.
The LCD is without DC to DC generator and without controller. For such a simple LCD, wonder why it is so expensive!
If I will you, I will "Don't just....tear it apart"........Just few latches is it?