Even for a mobster, there are different types of strength. There's the raw muscle of an enforcer like Luca Brasi or the strong, silent Gary Cooper strength favored by Tony Soprano. Sometimes, knowing how to stay in one's own lane and take orders is one of the toughest things a mafioso can do. It's that display of powerful masculinity that the General displays when his Invernizzi welcome home party turns out to be more of a slap in the face.
Upon Dwight's release from prison, he expects to be lauded for his years of silent suffering or at the very least, given "adequate compensation." Instead, he is greeted with distrust and disrespect from nepo baby underboss Chickie, who tells him, "I don't know what you're expecting, okay, now that you're back. But we can't just rewind the clock."
When Chickie banishes him to Tulsa, effectively going back on Pete's deal with him, Dwight is insulted. But being a loyal capo and having limited options, he dutifully accepts his fate and makes his way to T-Town (as seen in Season 1, Episode 1 "Go West, Old Man"). Because he's the General, he doesn't even make it to his hotel room before he has found his first business venture.