  Deep JWST imaging of the giant galaxy cluster Abell 2744, at redshift
$z=0.308$, is used to explore the features of its rich population of globular
clusters (GCs), building on our initial survey of the system (Harris &
Reina-Campos 2023). We use the photometry of more than $10,000$ GCs over a
three-magnitude range to construct the GC luminosity function (GCLF) and color
distribution (CDF). These results now specifically account for photometric
incompleteness as a function of location relative to the five giant galaxies
that dominate the gravitational potential of A2744. The total GC population in
A2744 is estimated at $N_{\rm GC} \geq 1.1 \times 10^5$, consistent with its
high total mass. We also directly compare the observed distributions with
theoretical predictions for GC populations drawn from the recent EMP-Pathfinder
simulations (Reina-Campos et al. 2022), viewed at the same 3.5 Gyr lookback
time as the cluster. The simulations match the observations well, with the only
notable disagreement being that the simulations predict larger numbers of GCs
at high metallicity formed after $z\simeq2$ than are seen in the data.
