Your speed has nothing to do with this game. This isn't an online multiplayer game like cod where you need a constant connection. You're just logging into their servers and uploading and downloading small data at most.
With my old ps4, when I wanted to take it into my bedroom, I had to connect wirelessly and on that, it was very far from the router. So when I did a Speedtest with the ps4, I only got about 2Mb DL and 565Kb UL because of the extreme interference from the 2.4ghz channel in my building.
My wired DL/UL is 50Mb/10Mb. So when I am in my bedroom with the speeds I get, once it logs into the hitman servers, I never get disconnected and can play without any issues. This game doesn't need speed to play the game. If you're having connection issues, it's something else. Not your speed.