Holds no ill will
The First Order has attempted to directly kill Rey and friends multiple times. They also just destroyed a solar system. Sure he’s acting friendly but that doesn’t excuse his actions. Kylo Ren is clearly unstable… so the last thing you want to do is give him a weapon.
While Obi-Wan and Rey may have different reasons for withholding their weapons both a perfectly valid. In fact Rey is more valid, as Anakin doesn’t care about his saber.