The tolerances built in to NDB and VOR approaches, both for width of the track overhead the facility, the angle it splays out, for track error and timing, pilot reaction times, acft reaction time, an omni-directional wind allowance etc, are pretty big. You would be surprised. Have a look at ICAO PANS-OPS doc 8168.
For me, fly as close as possible to acft/procedure limiting speeds, adjust timing, expect that you may fly through the final app course and regain it asap.
So easy to say from the comfort of a chair and hindsight. Not nice on the day with no notice however!
Oh dear!