Well the point of saying "All Lives Matter" isn't actually to claim that all lives matter, so a "good faith" way would kind of be missing the point. The people who invented it and say it don't mean the lives of poor black kids in the inner cities, families of Salvadoran immigrants apprehended at the border, transgender activists in San Francisco, etc... the phrase "All Lives Matter" is just the 2020 version of... (I'll let Lee Atwater do the rest):

You start out in 1954 by saying, “Ni\\er, ni\\er, ni\\er.” By 1968 you can’t say “ni\\er”—that hurts you, backfires. So you say stuff like, uh, forced busing, states’ rights, and all that stuff, and you’re getting so abstract. Now, you’re talking about cutting taxes, and all these things you’re talking about are totally economic things and a byproduct of them is, blacks get hurt worse than whites.… “We want to cut this,” is much more abstract than even the busing thing, uh, and a hell of a lot more abstract than “Ni\\er, ni\\er.”