Although the PCB was designed with equal-length traces for the output stages it appears that channels 3-4 and 5-6 are consistently late, and some shortening of the traces would improve things. I tried this on one PCB (blue data points) with moderate success.
Measurement setup: 1PPS source to 50-ohm splitter. One output of the splitter drives CH1(start) of a time interval counter (HPAK 53230A), the other output drives the input of the pulse distribution amplifier. Outputs wired to CH2(stop) of the counter and measured for 100 s or more (delay is average of 100 pulses). Counter inputs DC-coupled, 50 Ohms, trigger level 1.0 V.
For time-nuts kind of stuff (H-masers!) the 10 MHz phase-noise doesn't look that great, and there is something funky going on in the AM noise!? The box is powered by a +6 VDC wall-wart PSU which is probably the cause of all those spikes...
The PPS-channels are based on 7404 hex-inverters and look OK. 200ps of skew is equivalent to 4 cm of trace-length (?) - which seems like a lot if there was an effort to minimize it... For a 1 V/ns rise-time pulse 200ps is equivalent to 200mV of DC-offset in either the signal or the counter trigger-level which also seems like a lot?