Does truple effect Internet performance

I've been using it for like 2 months and don't seem to get any issues for internet or performance. I installed it on brand new pixel 7a and in the begining it drained the battery, but once the pixel got up to speed it was all good, now it drains it like 3-4% for the whole day which is nothing. Also, I think that the screenshots are optimized so they are like really small size and won't affect the internet speed.

The accountability app won't impact internet speed in anyway since it doesn't touch the network stack at all. However, if you use a web filter that could potentially impact internet speeds.