Does the 3.6 fuel economy improve with egr delet

Marginally I’d say but ask Alive or BAS Gone to a good home: 2011 4.4 TDV8 Vogue SE Buckingham Blue with Ivory and clear glass = "Rory"
2025MY Defender D350 90 in Silicon Silver on coils
1974 Series 3 Lightweight = "Millie"
Many, many other Landies over the years
My preferred specialist: www.glenrands.co.uk
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Can't say I noticed any difference. 2016 Skoda Octavia VRS Estate
<gone>2009 FF Vogue TDV8 Buckingham Blue</gone>
<gone>2015 BMW 520D SE (not my favourite car)</gone>
<gone>2009 D3 HSE Galway Green</gone>

Range Rover and fuel economy is not a discussion point tbh  Gone to a good home: 2011 4.4 TDV8 Vogue SE Buckingham Blue with Ivory and clear glass = "Rory"
2025MY Defender D350 90 in Silicon Silver on coils
1974 Series 3 Lightweight = "Millie"
Many, many other Landies over the years
My preferred specialist: www.glenrands.co.uk
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Blank and remap the EGR's out to save the turbo's from eating them although this does not prevent the turbo's eating themselves for no apparent reason....
More power and quicker throttle response are the other benefits of a remap. As for economy - it will be worse if you can now accelerate faster  2012 TDV8 Vogue (L322)

I’ve not noticed any difference in mine 2009 (2010 MY) 5.0 Supercharged Autobiography
2007 TDV8 Vogue SE
2005 BMW E63 645ci
2024 Porsche Macan

There's no reason fuel economy should improve UNLESS you had a very faulty EGR before delete & then economy should only "improve" to what it was before the EGR deteriorated.
PS It didn't on mine either  Paul,
2001 Discovery 2 TD5, 211,000 miles & climbing
2006 FFRR TDV8 Vogue 151,000 miles & now sold
Member of Midland (Land) Rover Owners Club, www.mroc.co.uk