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>Beat the next boss with as few deaths as possible while staying at or under the level cap
That's a Nuzlocke. Resource management is a moot point, since virtually no entry does it. Emerald Rogue basically invalidates all other Pokemons if you want to play this way.
Nuzlocke is also cancerous because it draws attention to "QoL" hacks, which are creatively bankrupt and conceptually limited. Why bother coming up with a solution to e.g. resource management or HMs if your audience has been conditioned to request their absence?