On my results above you will note the test on my raspberry pi was slightly worse than the FP3, the FP3 looked fine. Yesterday I had problems with my raspi as both the wifi and bluetooth are on the 2.4GHz band so I swapped the wifi to 5GHz. On the raspi they are both operating from the same chipset and interfere with each other.
I see from your images from the phone that the layout, format, colour is different do you know why?
Anyway if you have any bluetooth enabled nearby it will likely interfere with the 2.4Ghz wifi and hence latency maybe.
And if you have both wifi and network running on the phone how do you know which is being used as they could even swap mid stream.
Your computer no doubt uses wifi to connect whereas your phone appears to be have the network connected which may intefere and do you have the bluetooth enabled which is on the same band 2.4GHz