Jasper,
I've read through the whole "Barani too good to be true" thread. If one ignores all the repetitive talk from certain individuals there is actually some good info in there.
My station is located inland in Sweden and we rarely have much wind. I think I have noticed the "Barani effect", i.e. overheating during solar radiation from the side during no/very little wind, both in the morning and during the evening. I often compare to stations nearby (both official and amateur) and for some reason the temperature at my location is basically always higher. This could be due to microclimate of course, but it seems to be too often for that. Now, it seems the SHT35 is a quality sensor so I don't believe it is it because of the sensor either, but rather the Barani. If you are interested about the setup there is a picture in the About page on my website.
I am very interested in your tests here, particularly during no/low wind scenarios. Going to be following this thread for a while. And very cool that mauro63 is working with the manufacturer.