To expand on cbxer's comment, the 109 actually has two filters. If you look at the parts diagram there is a filter inside the pump that is listed as "Fuel Filter (for high pressure)" and then the one we change, that is listed a "Fuel Mesh Filter (for low pressure)". I've never heard of anyone changing or cleaning the filter inside the pump, or even if it can be. Kind of sounds like the same design as you mentioned on your Honda. There are instructions in the service manual on how to disassemble the fuel pump, but no mention of the internal filter in that process.
My B-King, the pump has to be disassembled to get access to the filter. I did it without a manual or a diagram, it was that simple. But who knows on any other bikes And the B-King responded to a plugged filter the same as the Nine. Backfired, stumbled on throttle application, and stalled when coming down to a stop. A new filter fixes it right up. It's even smaller than the filter the Nine has. And hangs totally below the bottom of the fuel tank, in a can on the bottom of the pump. It's the lowest point in the entire fuel system.
When I took it into Suzuki in 2021 to diagnose what was wrong with it, a different problem that occurred a few months after I changed the filter. I told the mechanic I had already changed the fuel filter. He said "really, how did you do that?" LOL!!
The B-King is a PITA to do anything that is under the tank. Takes nearly an hour to get everything off the bike so you can take the tank off. Even worse getting it put back together properly.