Strictly speaking adverb – In actual fact. Particularly and strictly speaking are semantically related in namely topic. You can use "Particularly" instead an adverb phrase "Strictly speaking", if it concerns topics such as that is to say.
Strictly speaking, these women need not have the exact Clairol hues of blonde, brown/black, and red, particularly when stepping away from the natural spectrum.
Cooking Duel: Strictly speaking there's no one-on-one duels, though it's quite common for two particularly bad bakers to be desperately fighting for survival, with everyone else more or less safe, in the showstopper challenge.