And interesting study indeed, but unfortunately no mention of wooden roofs from what I can see. I have ordered the book "Essential rainwater harvesting" and there they briefly talk about wooden shingle roofs, saying that usually they are not used and cedar shakes can be poisonous but that well managed wooden roofs can deliver high quality water. Unfortunately I could not see any further information on that so far, but let's see if I can find any references resources once I have the book.
I could also find some studies that seem to talk about wooden roofs for rainwater catchment, but they are unfortunately either paid for or not in english:
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https://www.researchgate.net/publication/221746231_Quality_of_roof-harvested_rainwater_-_Comparison_of_different_roofing_materials
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https://www.researchgate.net/publication/349906397_Roof_runoff_contamination_a_review_on_pollutant_nature_material_leaching_and_deposition
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https://www.researchgate.net/publication/263363138_The_Effect_of_Roofing_Materials_for_Using_Harvested_Rainwater
But looking at the latest two, it is possible to look at the graphs and from what I can tell they seem to suggest that wooden roofs are fine, as long as mosses are being kept off it.
Also just found this document which seems to collect some different studies that also look at wooden shingle roofs:
https://repository.lib.ncsu.edu/bitstream/handle/1840.4/8170/1_NC-WRRI-425.pdf?sequence=2&isAllowed=y - I have not looked at it in detail but at a first glance it does seem that wooden shingles might not, by itself, produce the highest quality water but still within range for drinking quality if mantained correctly.