Hifi-remote.com has this upgrade file which shows that the ADB 2721W uses the XMP IR protocol, device 42.20.  Here's Power function 68
0000 006D 0000 0012 0008 0022 0008 0046 0008 0032 0008 006A 0008 0032 0008 0032 0008 0027 0008 0051 0008 020C 0008 0022 0008 0056 0008 0046 0008 0032 0008 0032 0008 0032 0008 001D 0008 001D 0008 0BEF

Ch+ (35)
0000 006D 0000 0012 0008 0022 0008 0046 0008 0032 0008 006A 0008 0032 0008 0032 0008 0027 0008 0051 0008 020C 0008 0022 0008 0065 0008 0046 0008 0032 0008 0027 0008 002C 0008 001D 0008 001D 0008 0BEF

You can assemble all of these using IrScrutinizer with XMP-1 protocol
Power    68
num_0    81
num_1    15
num_2    1
num_3    2
num_4    3
num_5    4
num_6    5
num_7    6
num_8    7
num_9    8
CH+    35
CH-    37
Last_ch    26
exit    7
Menu    33
Guide    36
Info    38
up_arrow    82
down_arrow    83
left_arrow    69
right_arrow    12
Select    84
Play    21
Pause    20
rewind    50
ffwd    53
Stop    51
Record    56
Back    64
Delete    24
On Demand    41
List    34
Red    66
Green    67
Yellow    48
Skip+    22
Skip-    23

BTW, there's no reason to think that the box is a turd.  However, I think we already know that most learning hardware doesn't handle modern IR protocols well....