Lions of the Emperor (3 DP) + Tharanatoi Hammerblow (1 DP) is illegal for two separate reasons, and it is worth understanding both because each catches a different reader.
Reason one: Detachment Points. Lions of the Emperor costs 3 DP in the Munitorum Field Manual v1.3, which is the entire Strike Force budget. Nothing can be added to it. That is subtraction, not a tag question.
Reason two: the Unique Tag. Both detachments carry the LIONS tag, and no two detachments in your army may share one. Faction Pack v1.1 states the tag inside this detachment's own rule text, and the Munitorum Field Manual v1.3 and Wahapedia record it on both.
Why anyone reaches for it: both detachments print an identical 1CP stratagem called Unleash the Lions, with the same target and the same effect, splitting an Allarus or Aquilon unit into single-model units. Seeing the same stratagem on two pages reads like a designed synergy rather than a signal that the two are alternatives.
And there is a second trap layered on top, which is specific to this moment. Wahapedia still lists Lions of the Emperor at 2 DP. A reader working from the mirror computes 2 plus 1 and gets a total that looks like it fits the budget exactly, which is the most convincing kind of wrong. The official Munitorum Field Manual v1.3 lists it at 3 DP with an explicit increase marker and flags the detachment as updated. At the current official cost the list does not fit, and the shared tag would block it even if it did.
We never suggest this pairing anywhere on this site, in either direction. If you want Terminators inside a champion-flavoured list, take Auric Champions (2 DP) plus this detachment, which is legal at exactly 3 DP and puts a Character-buffing rule on the same target your Allarus are about to land on.