I have seen vertical panels produce more power. IME:
In the winter: Yes. because sun is less than 45 degrees from the horizon most of the day, the panels on the walls do better.
In the summer: No. because sun is more than 45 degrees from the horizon most of the day, the panels on the roof do better.
You can get data throughout the year by going to any solar calculator like PV watts or the one in my signature data and putting different angles for the panels. Almost as if science supports this.
The flat panels on walls can be good for certain situations like in AZ where the temp is 100° F when the sun rises and °115 F when the sun sets in the summer if you wanted power earlier in the day and later in the day to run AC. Each set of panels would not produce more kWh total per day on the wall in the summer, but would produce higher kWh per day on a south facing roof, but would not be at the time needed.