If you want Edward Bulmer's Lilac Pink without the natural-paint price tag, Dulux Labrador Sands 4 is your best bet. It lands at a ΔE of 1.1 from the original, with an LRV of 59.4 — and anything under 2.5 is what we'd call a very close match, so you're well inside that. Honestly, on a painted surface in normal light, you'd struggle to tell them apart.
Running it a close second is Dulux Gentle Gold 1, ΔE 1.3, LRV 60.3. It's a whisker warmer and very slightly more golden in the undertone, but it's still a genuinely faithful match. If Labrador Sands reads a touch too cool for your room, Gentle Gold nudges it back toward the warmer, blush-y side of Lilac Pink. Both sit just under LRV 60, so they're soft, light and bounce a decent amount of light around — the kind of colour that flatters a north-facing room rather than going grey on you.
The one thing worth flagging: Edward Bulmer uses natural pigments and a plant-based binder, which gives that paint a particular depth and a chalky, slightly shifting quality across the day. Dulux won't replicate that *body* exactly — no synthetic paint will — but the colour itself is bang on. If it's the hue you're after, you've lost nothing. If it's specifically the natural-paint feel and breathability you want (for a period property, say, or an eco spec), then stick with Bulmer and don't compromise.
Practical advice: buy a Dulux tester of Labrador Sands 4, paint two coats onto an A2 bit of lining paper, and prop it against the actual Bulmer card on the wall you're doing. Lilac-pinks are notorious for shifting between lilac and warm pink depending on light and what's next to them, so judge it in situ, morning and evening, before you commit to a full tin.