Weak signal via pull up resistor?
You have built the wrong cable, the cable with 460 ohm resistor is meant to be connected between BFLY cameras, not BFS cameras. In case you have not noticed, the pinout is different as well. So that is the reason your current cable with 460 ohm resistor does not work, and it does not work much better with 200 ohm resistor either, because pinouts are different.

The BFLY camera cable (wrong cable, wrong resistor, wrong pinout) uses opto-isolated input pins, therefore to drive enough current to the input LED of the opto-osolator, it needs smaller 460 ohm resistor. Because it is wrong cable for your cameras, it explains why it works poorly.

The BFS camera cable (right cable, right resistor, right pinout) uses high-impedance unisolated GPIO data pin for input, therefore a 10k resistor is perfectly enough to drive the input.

The output on both cameras is an opto-isolator output, it is common to assume that it is an open-drain output. That is why it even needs a pull-up resistor. And because the signal is active high, it means that in idle state, the opto-isolator output must drain the current via the resistor to keep output low.

And the smaller the pull-up resistor is, the more current must be drained by the output transistor, and that is why the output pin has offset voltage, because with all that current, it can't go to 0V. It is however low enough to keep the input opto-isolator LED off. This explains the about 0.5V of DC voltage at the output pin when the pin is low.

When there is a trigger event, the open-drain output turns off, so all current flows from 3.3V pin via resistor and opto-isolator input LED to ground. Because the opto-isolator input is a LED, it will have about 1.5V of forward voltage over it. So you will never measure more than about 1.5V because with the 200 ohm resistor, about 9 milliamps flow into the pin. This explains why the output is only 1.5V when turned on.

So, for your BFS camera, the 10k pull-up makes best signal, because the open-drain output does not have to sink much current, so it can go very close to 0V. Using smaller pull-up only makes the voltage higher than 0V.