Switching BLU to 24% Cure Potency changes their numbers to:

Wild Carrot: 238/37 R = 6.43
M Fruit: 637/72 R = 8.84
P Embrace: 753/106 = 7.10

It comes closer to WHM's efficiency, but still does not beat it - and doesn't come close in pure potency, still ignoring solaceskin.

Let's try maxed augmented gear, or 32% Cure Pot:

Wild Carrot: 253/37 R = 6.84
M Fruit: 678/72 R = 9.41
P Embrace: 801/106 = 7.55

Now, if we ignore Solaceskin, Magic Fruit becomes more efficient than Cure V. Plenuline Embrace, however, is still less efficient than even Cure IV and caps out significantly lower than a decent Cure V, let alone a Cure VI. If we add Solaceskin to the mix, WHM's potency starts to look like the following:

Cure2: 198 HP / 22 MP Ratio = 9.0
Cure3: 414 HP / 42 MP Ratio = 9.85
Cure4: 839 HP / 80 MP Ratio = 10.49
Cure5: 1478 HP / 122 MP Ratio = 12.11

Yeah. BLU isn't even close if you take Solace into account - neither in Efficiency, HP cured, or total HP saved (skin+cure).