One other point of comparison though between the Stomp/Stomp XL and the Kemper Player. Once again, just like the Kemper vs. Helix, Kemper has a DSP advantage forgotten when comparing Rigs to Presets.
The Stomp and Stomp XL follow the DSP allocation of their big brother the Helix. When playing through a song you need to remain in the same preset because there is no spillover and a small audio gap between presets. On the Player, you can toggle through the 5 Rigs in a bank an have a smooth transition with spillover of the wet effects. Therefore there is no need to try and place every effect you want for a song in one Rig, as you can get to four others real quick, even if you use an identical profile in each. Whereas in the Line 6 paradigm, you can assign more effect in a single preset, but that's your practical cap for a single song. Now there may be many situations where a small audio gap and lack of spillover don't matter and you can utilize a bank of presets any time you have small gaps where you aren't playing. But trying to organize you sounds in general in the manner is problematic since there are plenty of times where that small gap would matter greatly from song to song.