Why would the HP DIMM have so many more capacitors than the aftermarket one? What are they trying to accomplish - what problem are they trying to prevent - by sprinkling capacitors everywhere, if the memory chips don't need them?
As other(s) in this thread, seem to be trying to tell you.
The capacitors seem to be a RED HERRING, and have probably got nothing to do with why only one stick works, not two.
Memory controllers, can be very fussy, and need the right type of memory. I suspect you are NOT using the right memory type (as in exact part numbers, and all applicable parameters for them), in order to use BOTH slots.
This is normal, and found in many memory related things.
tl;dr
You seem to have bought the wrong memory stick type for your device. It even has a different part number.
My guess would be you haven't bought a low enough 'rank' memory stick type.
As with PCs, they can be very fussy about what memory they have fitted to them. Especially if you want to fill out all the memory slots, as that especially needs the CORRECT memory type(s).
I.e. (Taking modern day memory sticks to make a point).
You can't just slot in a DDR4 memory device into a slot somewhere, and expect it to always work perfectly. It needs to be the CORRECT DDR4 memory type for that system. I.e. Speed and a whole lot of other parameters and/or type numbers.