Lift and shift is a sales term to make it sound like the internal team is trying to over-complicate the migration. The sales guy will normally phrase it as "just lift and shift."
And then people also pick it up for non-persuasion, because it also sounds like a catchy name for an engineering approach we already had.
Of course it can still be used for persuasion for awhile, but will grow baggage over time, as efforts linked to the term don't play out that way.