Edward Bulmer's paints are gorgeous — natural, plant-based, low-VOC, and priced accordingly. Lute is a lovely soft ochre-yellow, and if you want that look without the Edward Bulmer price tag, your best bet is Dulux Bracken Salts 3 (LRV 51.2), which measures ΔE 2.5 from the original. That's the threshold of "very close" — most people stood in a room wouldn't clock the difference, especially once it's up on four walls in natural light.
Next in line is Crown Striking (LRV 46.1) at ΔE 3.4. That's a visible step away — slightly deeper and a touch off-tone — but still firmly in the same family, and Crown trade prices are keen. If you want to keep some eco credentials, COAT's Ziggy's Yellow (LRV 50.9) is the closest of the lower-VOC options, though at ΔE 5.2 it's a noticeably different yellow — brighter and more saturated. I'd only go there if you actively prefer that punchier read.
Now the honest bit: a colour match isn't the whole story. What you lose dropping from Edward Bulmer is the pigmentation and the finish. Bulmer's earth and mineral pigments give a depth and a way of shifting through the day that flat-matched synthetic colours don't always replicate. Lute in particular has that warm, slightly chalky glow that comes from how it's made, not just its hex value. Bracken Salts 3 gets you the colour; it won't quite get you the soul.
My advice: order sample pots of Bracken Salts 3 first and live with it on the wall for a couple of days — north and south light both — before you commit. If it reads right to you, you've saved a packet. If the room's a hero space and you want the genuine article's character, that's exactly where spending on the real Edward Bulmer earns its keep. For everywhere else, the Dulux match is a cracking shout.