Of course, Leia would have felt the death of her son, even that many star systems away. So lying would be difficult, if not impossible. At best, he might be presumed dead or otherwise still missing, but Kylo clearly wanted something far more finite.

At least he wasn't asking for the real thing.

When Han spoke about the Wookie, Kylo Ren lowered his gaze to the floor. He despised the General and all that she stood for. His father was a disappointment that he needed to eliminate. But his memories of Chewie weren't nearly as tainted. Perhaps the Supreme Leader left those untouched as a point of comparison to all the actual people in his life.

"...I think Chewie held me more than you ever did."

He didn't outright say he could stay, but the sentiment was somehow there.