It isn't that Signless has been avoiding seeking out Karkat as that he's been avoiding seeking out anyone. This is the first time in days that he's left his room -- and even settling back in to District 12 was difficult after growing used to District 4 and not being alone with his own thoughts quite so much.
Being alone with his thoughts is marginally less distressing on the roof among the plants and flowers and the fresh air and so that's where he finds himself tonight. He spots the familiar messy hair and nubby horns of his descendant and a weight lifts itself from his chest. He knew Karkat was alive but it's still different having it reaffirmed by seeing the younger troll right in front of him. There was a time during those three days he worried that Karkat might not come back at all.
D (several days after he initially returns)
Being alone with his thoughts is marginally less distressing on the roof among the plants and flowers and the fresh air and so that's where he finds himself tonight. He spots the familiar messy hair and nubby horns of his descendant and a weight lifts itself from his chest. He knew Karkat was alive but it's still different having it reaffirmed by seeing the younger troll right in front of him. There was a time during those three days he worried that Karkat might not come back at all.
"Karkat. It's good to see you."