Being in Australia where I have travelled on 1067mm Cape Gauge, 1435mm Standard Gauge and 1600mm Victorian/Irish Gauge - no, there are far more variables involved than the track gauge.
In my experience there are:
- some great 1067mm tracks on recently built tracks in Western Australia served by quality Australian-built modern B-Series EMUs which are some of the smoothest journeys I've ever ridden.
- some truly awful 1067mm tracks in WA and Queensland which have people running the risk of seasickneess.
- some truly abominable 1600mm tracks in Victoria, even running the excellent Australian-built VLocity intercity DMUs can't polish the turd.
- some great newly-built 1600mm tracks in South Australia which are currently let down by the clapped-out DMUs running on them, but should be fine when the new world-leading Australian-built EMUs (the next evolution from the Perth B-Series) enter service.
- a mix of everything on the standard gauge system which is mostly quite good if you're riding it in the venerable old Budd-designed coaches. If you're in a newer DMU or EMU it's not fun.
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Broad guage = wider base. I'm sure someone can think of a better analogy but if you can understand it, then I'm happy!
The 165mm difference between Standard Gauge and Victorian Gauge (spread out your hand - that's wider than the difference) is not significant enough to overcome all the other factors involved with ride quality.
That applies on straight track only, on tight corners it goes the other way with a narrower track able to turn tighter corners while maintaining a good ride than a wider gauge can.
If you go towards a more extreme example in either direction you start to get more problems - with a sub-metre gauge the stability of the rolling stock would start to suffer and top speed would be lower.
Going wider you start to get issues with the track warping due to ground movement. This was the reason that the original Central Australia Railway route from Port Augusta to Alice Springs (not the current Adelaide-Darwin Railway) was built to the 1067mm gauge despite that introducing a number of annoying break-of-gauge stations, top speed was irrelevant while coping with the ground conditions was a must.