Is there or will there be a segment section added to the network Speedrun. I just think It would be good to compare individual segments of the run to other players within the community.

I'm not entirely sure what you mean. Are you talking about adding splits to the descriptions of submitted all network speedruns like Mountain: 31.99 Space: 40.44 etc

Or are you talking about just having a leaderboard for the individual network speedruns?