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I guess if you're trying to climb x metres or go for AAA points, that's important.
I just tend to look at it after a ride and go "oh, that felt like a lot of climbing" or "oh, really, less than they said". It's not like I'm going to not ride something because it has 4000m vs. 3500m or whatever so total ascent is only ever a rough metric for ride difficulty or something I try to reduce while TCR routing :).
hippy
I've tended to use an applet which takes the gps tracklog, samples it and then runs this through the high resolution DEM from the OS. This tends to give a more accurate result than the models used on strava / rwgps which tend to use global datasets.
This is the approach used by AUK for AAA calcs.
The Moscow Express ride ended up being 2,400 m vs 1,900 m