Has the Ministry of Commerce or the competent authorities confirmed that Crystal hot sauce is contaminated with pig oil, and what is the Islamic ruling—on buying, selling, and using it—should this be proven?

The definitive statement on establishing the contamination of oils with pork fat is by referring to the accredited specialized authorities. If such contamination is proven, awareness of it must be spread through accredited bodies. The default ruling for things is permissibility until a prohibition is established. In cases of doubt, it is preferable for a Muslim to avoid that which he doubts its permissibility, in accordance with the hadith (definition): "Leave that which makes you doubt for that which does not make you doubt."