I decided to order some Coat D'arms dwarven flesh too, for checking beside that old GW colour, along with dark earth and black green to compare with charadon granite. The paints arrived today. A bit longer than expected, I imagine Royal Mail was double and triple checking the parcel for a fifth pot so they could indulge their pyromania. Anyway, now I can indulge
my obsessive compulsions...
Long story short: No. No, CDA elven flesh is really not a good match for GW elf flesh.

Long story... long: I've painted up a wee swatch and scanned it in. The colours definitely didn't look the same on my screen as in real life, and despite tinkering with hue and saturation and stuff, it's still not quite exact, and I don't know what it'll look like on other screens. But I hope it shows the general differences in the paints.

Column 1: GW elf flesh and dwarf flesh, the standard.
Column 2: CDA elven flesh and dwarven flesh. Like I say, the first is not a match for the OOP GW colour. I'd say it's even a bit darker and pinker IRL than it seems on my screen; closer to GW dwarf flesh. A decent mid-layer between the two, maybe, but not a substitute.
CDA dwarven flesh is lighter and pinker than GW dwarf flesh. Not a match either. Although IMO elven and dwarven flesh would be pretty good highlights for GW's two flesh bases in column 3, ratskin flesh and bugmans glow, respectively. (or the deathclaw brown I mentioned last time, which is pretty much ratskin flesh with a very slightly browner, less saturated tint. But I digress)
There's another possibility though, if you don't mind buying a bunch of CDA paints and mixing them. I used that elven flesh, CDA flesh, and Ral Partha/Miniature Paints apricot (an almost exact match for CDA oriental flesh) to get what I think is a pretty good match for GW elf flesh. That's the small patch to the top left of the elf flesh column. Just a rough mix using approximately 3 parts flesh, 3 parts apricot, and 2 parts elven flesh. If you're mixing larger quantities in a spare pot, it could be tuned a little finer, probably with a bit more elven flesh.
The other small patch just below it is straight MP apricot - pretty close to elf flesh in value, but more yellow in hue.
Column 4: GW tallarn flesh and charadon granite, ready for comparison. The three colours beside tallarn flesh are, from top to bottom, Vallejo Panzer Aces flesh base (as per Smillie's recommendation), MP tanned flesh, and Anita's coffee. Flesh base is a fair substitute, IMO. I tried mixing a few colours out of my collection, but couldn't get much closer than that.
The four colours to the right of charadon granite are MP umber, CDA dark earth, CDA black green, and VMC chocolate brown.
Black green and chocolate brown? No. Not even close. And umber's a bit too dark and warm.
Dark earth has a good, yellow/greenish 'raw umber' look but it's much too saturated. I thought it needed a warm grey-brown to tone it down a bit: Panzer Aces track primer was almost perfect for that. I mixed it 1:1 with dark earth, and with a touch of something to darken it a bit more (VMC german grey) I think I got a pretty good charadon substitute. That's the little patch to the left of the charadon column, opposite dark earth.