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Over 2mm each side? No need as far as I can see. I’d back a well tightened QR lever to pull the dropouts fairly parallel.
It's a bit yuck, and quite likely to make the axle flex slightly to put the locknuts hard against the dropouts... Probably making for a tad extra friction, and uneven cone wear if not a cartridge hub.
I wouldn't sweat an OLD increase of 2mm or less without dropout alignment, but IMO 4mm should be tweaked.
Over 2mm each side? No need as far as I can see. I’d back a well tightened QR lever to pull the dropouts fairly parallel.