Now, since you are a timenut, what bandwidth is good enough for the 1pps/1Hz output from a GPSDO?
5Hz? 10Hz? 100Hz? Surely the 99th harmonic will look good enough. Won't it?
No, for a Time-Nut, there is no limit. I want all the bandwidth! But,
for this application, it makes more sense to look at the time domain, i.e. risetime rather than the frequency domain, i.e. bandwidth. To get the best measurements, you need to minimize jitter which means the fastest possible risetime. Is that what you wanted me to say?

Your discussion with bdunham7 brought up a few questions that caused me to make some measurements. The results are interesting.
1. Start with a Trimble Thunderbolt GPSDO. Risetime on the 1 PPS signal is ~2 ns as measured on a 1 GHz LeCroy 9384L scope.
2. Use a Fluke PM6681 Timer/Counter/Analyzer to make 100 measurements of the period of the Thunderbolt 1 PPS signal and then display the Std. Dev. of the measurements. The PM6681 has a resolution of 50 ps.
3. Make the measurements with and without the PM6681's 100 KHz low pass input filter. With the filter: ~0.5 ns. Without the filter: ~0.1 ns.
So even a 100 KHz filter results in unacceptable degradation of the measurements.
To summarize, for some situations,
LIKE THE OP's INITIAL QUESTION, it's easier to understand what's happening by using the frequency domain i.e. bandwidth. For other situations, like the measurements above, the time domain offers better clarity.