Is this process only applicable to the stock 1300mah battery? Or would this be necessary with the 1500mah as well?
It's necessary for all batteries.
For your reading pleasure
Your battery gauge is lying to you (and it's not such a bad thing) - xda-developers
I used to do it, but it got old... Fast. I also quit using task managers. To be totally honest, I don't miss either one at all. Just do your thing & keep a charger nearby to plug it in for 5-10 minutes here & there. There seems to be a lot of things out there to fix non issues. Life is much easier when you're not fretting over exact battery % & available ram.