  We make a comparison of deep SCUBA-2 450 $\mu$m and 850 $\mu$m imaging on the
massive lensing cluster field Abell 2744 with Atacama Large
Millimeter/submillimeter Array (ALMA) 1.2 mm data. Our primary goal is to
assess how effective the wider-field SCUBA-2 sample, in combination with red
JWST priors, is for finding faint dusty star-forming galaxies (DSFGs) compared
to the much more expensive mosaicked ALMA observations. We cross-match our
previously reported direct ($>5\sigma$) SCUBA-2 sample and red JWST NIRCam
prior-selected ($>3\sigma$) SCUBA-2 sample to direct ALMA sources from the
DUALZ survey. We find that roughly 95% are confirmed by ALMA. The red priors
also allow us to probe deeper in the ALMA image. Next, by measuring the 450
$\mu$m and 850 $\mu$m properties of the full ALMA sample, we show that 46/69 of
the ALMA sources are detected at 850 $\mu$m and 24/69 are detected at 450
$\mu$m in the SCUBA-2 images, with a total detection fraction of nearly 75%.
All of the robust ($>5\sigma$) ALMA sources that are not detected in at least
one SCUBA-2 band lie at 1.2 mm fluxes $\lesssim$ 0.6 mJy and are undetected
primarily due to the higher SCUBA-2 flux limits. We also find that the SCUBA-2
detection fraction drops slightly beyond $z=3$, which we attribute to the
increasing 1.2 mm to 850 $\mu$m and 1.2 mm to 450 $\mu$m flux ratios combined
with the ALMA selection. The results emphasize the power of combining SCUBA-2
data with JWST colors to map the faint DSFG population.
