I think the problem is that the LP is a meta class. Like how the working classes are not a monolithic bloc but include the proletariat, the peseantry, the artisans, the lowest strata of the PB etc, all with their own class relations.
The Lumpens are everyone from a beggar to someone who steals to live to the mafia to an opera singer or artist who relies on bourgeois donations rather than wages. Heck, there's an argument to be made that someone who runs an NGO is a kind of "Lumpenbourgoise"
All of these have the sense that the existence of the strata is dependant on the stability of the capitalist system and instability hurts them, but they have wildly different revolutionary potential