One funny thing on Adopt!Tsuna is that Xanxus is adopt!
Timoteo insist Xanxus should obey and love him because he raised (kidnapped) the Wrath Sky.
"Blood doesn’t matter"
(Did the old man killed his poor mother after he kidnapped Xanxus?)
But a Adopt!Tsuna would have to deal with Iemitsu and Nana insisting they are his 'real family' and he should abandon his adopt parents that raised and loved him to 'fix' his abusive toxic family. His home is Namimori and the placed he lived all his life was temporary.
Because they are his own flesh and blood?
"If my foster parents aren't my parents, then Nono isn’t Xanxus’s father give they aren't blood related." He said. "I was adopted. My foster family are the ones that raised me. Blood doesn’t matter."
Different extremes of toxic parenting, this mess of a family is adaptable.
Towards whatever suits their needs and selfish world-views of family and duty.