Here are 3 Imageamagick commands. The first is yours above. In the second I create a common color map image from the two input images (before and after) and apply that to each frame. In the third, I do the same color map processing, but reduce the number of frames. I took all the images from the web site and animation referenced and put the new logo in the bottom left corner, since there was already one in the bottom right corner. Note that I added -layers optimize to all, which decreased the file size considerably.
logo:

before:

after:

Method 1 (original):
convert -gravity southwest everlogo.png -write MPR:logo \
\( before.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:before \) \
\( after.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:after \) \
-delete 0--1 \
MPR:before \( MPR:after -set delay 25 -crop 15x0 -reverse \) \
MPR:after \( MPR:before -set delay 27 -crop 15x0 \) \
-set delay 2 -layers optimize -loop 0 temp1a.gif
2,246,665 bytes
174 frames
Result is too large to upload here.
Method2 (common color map):
convert -gravity southwest \
everlogo.png -write MPR:logo +delete \
\( before.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:before \) \
\( after.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:after \) \
-delete 0--1 \
\( MPR:before MPR:after +append +dither -colors 255 -unique-colors -write MPR:colors +delete \) \
MPR:before +dither -remap MPR:colors \( MPR:after +dither -remap MPR:colors -set delay 25 -crop 15x0 -reverse \) \
MPR:after+dither -remap MPR:colors \( MPR:before +dither -remap MPR:colors -set delay 27 -crop 15x0 \) \
-set delay 2 -layers optimize -loop 0 temp1b.gif
2,004,345 bytes
173 frames

Method 3 (common color map; twice the crop width and four times the delay; adjust the delay as desired to match better Method 2)
convert -gravity southwest \
everlogo.png -write MPR:logo +delete \
\( before.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:before \) \
\( after.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:after \) \
-delete 0--1 \
\( MPR:before MPR:after +append +dither -colors 255 -unique-colors -write MPR:colors +delete \) \
MPR:before +dither -remap MPR:colors \( MPR:after +dither -remap MPR:colors -set delay 100 -crop 30x0 -reverse \) \
MPR:after+dither -remap MPR:colors \( MPR:before +dither -remap MPR:colors -set delay 108 -crop 30x0 \) \
-set delay 4 -layers optimize -loop 0 temp1c.gif
1,927,359 bytes
87 frames

I am bit surprised that reducing the number of frames so significantly does not make a commensurate decrease in animation file size. But I suspect that is due to the -layers optimize.
ADDITION:
Also in all the code above, I do not understand the use of setting the delay of 25 and 27 inside the parentheses and then setting it again to 2 afterwards. I do not think animated gifs can have different delays. The only one that matters is the final one.
So just in terms of delays and number of frames, these two do the same. The first uses -crop 15x0 and -set delay 4 and the second use -crop 30x0 and -set delay 8. This produces the same speed animation, but the second has fewer frames. The first is 174 and the second is 88 and so more coarse steps. But the file sizes are about the same. So it seems that the common color map causes the largest decrease in file size.
convert -gravity southwest everlogo.png -write MPR:logo \
\( before.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:before \) \
\( after.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:after \) \
-delete 0--1 \
MPR:before \( MPR:after -crop 15x0 -reverse \) \
MPR:after \( MPR:before -crop 15x0 \) \
-set delay 4 -layers optimize -loop 0 temp3.gif
frames 174
2,246,665 bytes
convert -gravity southwest everlogo.png -write MPR:logo \
\( before.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:before \) \
\( after.jpg -resize '1280x720!' MPR:logo -geometry +15+15 -composite -write MPR:after \) \
-delete 0--1 \
MPR:before \( MPR:after -crop 30x0 -reverse \) \
MPR:after \( MPR:before -crop 30x0 \) \
-set delay 8 -layers optimize -loop 0 temp2.gif
frames 88
2,174,954 bytes