Certainly God desires repentance. More than that: He requires it. But please clarify: you're saying that the prideful sinner "remains" saved regardless, without repentance?
Scripture says that once a person comes to faith in Christ, even the sin of pride has already been paid for on the cross.
It is conduct unworthy of someone who has the life of Christ inside them as the new nature. It stems from the Adamic nature that remains until physical death.
Should the person repent to restore fellowship with the Father? Absolutely.
Does their failure to repent and restore fellowship with the Father cancel out what Christ did on the cross? Absolutely not.
Does that person lose their salvation for this or any other sin because they fail confess and repent? Absolutely not.
If a person has entrusted themselves to Christ, they have eternal life, according to God. They can be a wayward child, but a child they remain.
Their life after salvation on earth will be judged to determine the quality of their works. If wood, hay and stubble, it will be burned up. If gold, silver and precious metals, the fire will reveal it. "They themselves will be saved."
They may smell like smoke!