Liam felt great after absorbing his reserve of demonic energy, he felt a lot stronger than before and didn't feel like his temper had changed, that was the thing he had feared the most, and that's why he had never took the risk of using this demonic energy.
But having spent time with his brothers had made him realize that it was not the demonic energy that made a person bad but rather their environment.
His brothers wanted him to use his demonic inheritance and Celia had repeatedly made him understand that there was nothing to fear in using it and that he would be strong enough to seal it again if he ever felt overwhelmed by this new energy.
Alec unconditionally supported him no matter what decisions he made and this love had given him the strength to overcome this fear he had of his demonic energy.