[/list]I say No, because the lab isn't color managed fully despite providing a profile you can't really use. Just send sRGB (or if they allow it, fewer do, Adobe RGB (1998)), hope for the best.
The print gamut size & shape may provide some indication what the lab does.
The 3D plot below compares the ICC
profile of the ProAm lab which was mentioned earlier in this thread vs. the
Fuji-generic profile for CA-DPII paper and for the printer in
PD mode which makes use of the printer's full gamut. Both spaces are quite close together, most likely too close for being just a coincidence.
The RelCol rendering of out-of-gamut colors is however quite differently implemented with both profiles as shown in the image below:
/> left: original test image in source space eciRGB (its presentation below just suffers a bit from the final screenshot / monitor profile to sRGB conversion).
/> middle: source space soft-proofed, RelCol+bpc, to the ProAm Profile
/> right: source space soft-proofed, RelCol+bpc, to the Fuji generic profile for CA-DPII paper and for the printer in PD mode
The ProAm profile likes to shift red hues towards orange, whereas the Fuji-generic profile is more hue preserving but comes out darker and is more prone to posterize.
Yes, sure, we can edit the image under softproof with either profile
but I can't help myself to think that such differences between the profiles and their rendering intents are a mess.