Pulls related to float cancels/button presses?

[InterimOfZeal]

Recently, I've decided to play Peach more technically. This means FC combos on every character possible (and some that aren't). After getting Peach's pillar down, I went to a smashfest, where I proceeded to pull 13 stitchfaces, 4 bob-ombs, 4 beamswords, and countless beady-eyes and Mr. Saturns. 3 of those stitchfaces and 2 of those bob-ombs were all in the same round (poor guy).

Since then, I've been wondering if button presses/FCs/grabs/SOMETHING relates to pulls, because I've gone weeks without even pulling a stitchface before.

Any ideas?