Why you need a wideband
Tuning an engine while looking only at the power curve is working blind on half of the problem. The curve tells you how much the engine produces; the wideband sensor tells you why.
When you record AFR alongside the curve in the same run, you immediately see what's happening with the mixture across the entire RPM range. A power dip at the top stops being a mystery: if the mixture went to Lambda 0.78 you know it's too rich; if it climbed to 1.05 you know it leaned out. Change a jet, an injection table, an ignition advance, and measure again. The difference between the two runs isn't interpretation — it's data.

Repeatability and weather correction
An engine's target AFR doesn't change with ambient temperature or atmospheric pressure. The carburation needed to reach it does. A cold day with high pressure lets in more air than a hot day, and an engine well-tuned in July ends up lean in January.
With a wideband installed on the dyno, seasonal correction stops being guesswork. Record the target AFR that delivered peak power and, months later under different weather, you can return to that same mixture by adjusting until the sensor reads the same value. That's the difference between reproducing a setup and reinventing it every time.
Faster tuning, safer engine
An excessively lean mixture under full load is the leading cause of burned pistons, damaged valves and blown head gaskets. The sensor shows that condition before something breaks: watch AFR climb in real time during the run and abort the test if needed.
For the tuner billing per job, the wideband also cuts time. What used to take five passes to find the optimum mixture point gets solved in two when AFR data is overlaid on the curve.