My diet:
Comparison

TBHQ vs Tocopherols

The short answer
Tocopherols are the safer pick: natural vitamin E with no daily limit. TBHQ is stronger and survives deep-frying better, which is why it's still common in fast-food oil and crackers.
Side by sideTBHQ (Tert-Butylhydroquinone)Tocopherols (Vitamin E)
Safety score45/100 Best to avoid92/100 Generally safe
Made fromPetroleum-derived chemicalsVegetable oils ✓ Better
Daily limit (EU)0.7 mg per kg of body weightNone ✓ Better
Strength in frying oilVery strong ✓ BetterModerate
Allowed in organic foodNoYes ✓ Better
PriceLow ✓ BetterHigher
Safety score4592 ✓ Better

Swapping one for the other

At home you don't need either: store oils in a cool, dark cupboard and buy them in smaller bottles. For homemade nut butters, a few drops of mixed tocopherol oil help.

Common questions

Why don't all brands switch to tocopherols?

They cost more and break down faster at frying temperatures, so oils need more of them or need changing more often.