It’s unlikely that reducing the value of capacitance will do any good. It’s possible that using a 100uF capacitor may help a little. Using a larger value above 100uF will not likely make much difference.
As I said earlier, the main problem is the signal level being incorrect. Some TVs will be happy, while others will not. The
Wikipedia article gives a reasonable diagram of a typical composite signal.
Notice that the sync level is at 0V and peak white is at 1V. Although it can also be described with the black level at 0V, peak white at 0.714V and the bottom of the sync. pulse at -0.286V. Which again gives an overall signal voltage of 1V.
The ULA in a ZX81 was designed to feed the modulator. IIRC, the TFW8bit composite mod board is just a buffer amplifier (emitter follower), so it provides current gain and no voltage gain. The output voltage however will be a little bit lower. This is because of the transistors base-emitter junction, hence the output voltage will be about 0.6V lower compared to its base (input) signal level.
But as the ULA outputs a voltage of about 3V to 3.5V, the TFW8bit composite mod board will produce an output with too high a voltage.
Adding the capacitor stops (blocks) the DC voltage, only allowing AC signals through. But some TVs still may not be happy
Mark.