"Not made by the same company"
Yup correct you are, 4.6 / 4.6 made in England, LR4's 5.0 by FoMoCo aka Ford as on the 2011 LR4 engine's cylinder heads.
I always knew Ford was a "premium brand".
At my end all licensed aircraft mechanics (A&P) rebuilding aircraft radial engines for a living also into the Buick / Olds 215 that became Rover's 3500 then 3.9, 4 & 4.6 engine series.
Rebuilding, machining and modifying them to our intended use from off idle off road torque to 6K rpm's sand rail racing engines.
Three of us went separate ways scouting seven different Pick-n-Pulls within a 60 mile radius the past 12 days.
First call finds my favorites the 4.6 engines after adding 3.9 style ram tube style velocity stacks after machining and modifying projects.
RPI relighted my flame with 4.6 engine mods after their performance chip and Piper cam purchase back in 2000.
One friend the sand rail racer located a 2011 LR4, I mentioned them having 375 hp. This a hit and rolled LR4 looking really sad.
I located a second 4.6 engine.
A complete 5.0 long block with brain box and wiring harness for future sand rail project a mid engine build requiring a machine to fit flywheel.
Out with the 4.6, in the 5.0, hope it works or my butts kicked.
I'll be stuck with some of machining, my big mouth transplant.
One long block, (best of two 4.6), one made into a short block core.
Prices we paid end of this read.
Back to your sick LR4 puppy.
Your warped heads, how can they be milled flat when the warp is on the head gasket side, the warp runs through to top of head including warping all the cam journals out of alignment once torqued down?
Push rod engine (4.6) not a problem, mill the head's rocker stand posts making them all equal height again.
Milling raising compression as well milling and correcting intake to head port alignments as well flatness. Milling heads causes port misalignments
but not as bad as factory Rover engines.
Running twin OHC with misaligned cam journals, no thanks, BOOM!
Not a "one time" LR repair at our end working on these aluminum engines 49 years and counting.
The three of us also into D1's and D90's, i'm suspended stiff a street only vehicle.
Cylinder heads, 4.6 $65 each, $11.99 core.
Short block 4.6 $119.99, $19.99 core.
Long block 4.6 $149.99, $19.99 core.
Heads 5.0 (LR4) w/cams $86.99, $11.99 core just to give you a price.
Long block 5.0 (LR4) $149.99 $19.99 core.
Ignition box (5.0(LR4) $25.99
Wiring harness $10.
Great to have my two scouts known at all these Pick-n-Pulls with a good relationship at most getting a discount.
They junk out LR's giving away "rollers" to Pick-n-Pulls, a push ' pull relationship.
Bottom line, your "premium brand" LR parts are not that exotic, rare or expensive.
BTW, Tig, Mig, Lathe and Bridgeport mill my personal toys.
No back pat needed, we fab and make chit work.
Good hunting best of luck with your LR4 repair.