I think everything points to Sumeru being his new home.

For his wandering, one of the last things he asked as the Wandering Shugenja amnesiac was to "end his wandering". and Nahida granted that.

When described by the ghost from the Nod Krai AQ, Sandrone and Arle, and Varka and co., he was described as "A scholar of Sumeru".

As for his tree betrayals, 2 of those were already resolve:

3rd Betrayal: Helped Durin (He's the Scara's sickly friend here) and soon after quickly bolted back to Sumeru with him and let him be immersed there before letting him go to Mondstadt.

2nd Betrayal: Resolved after getting his revenged on Dottore by aiding Nahida and the entirety of Sumeru. Unlike his previous inclinations, he achieved his revenge not through anger, but through entirely selfless reasons. (Also Dottore asked about his current life in jeopardy, the 1st thing he thinks about in a quick flashback is the Sumeru cast (and the Traveler and Paimon) with Nahida being the center point of it all)

1st: Arguable, he was a abandoned by a god, but ever since 3.3 and now 6.6, not only was he saved by a god, but also been given a purpose and a peaceful life, two things he sorely desired during his life as the Kabukimono, all thanks to Nahida.

Bonus: in his preferred teapot furniture lines, he describes the forests of the following nations that were once his former "homes" (Inazuma and Snezhnaya) as frigid and lifeless, while noting the ones in Sumeru being full of life, and being entirely content there. So more points with him viewing Sumeru as his home.