Hi J,
I am glad that the other Mods have helped to clarify your situation.
Just to remind you once more.
Although you have fulfilled the deadline for appealing, and have therefore taken up your right to appeal.
If you wish to provide the DWP DM with any fresh evidence to take into account at the reconsideration stage, of how you are entitled to ESA in either group, you should forward this information to the DM, ASAP.
Sometimes, it is enough to simply reiterate evidence already provided,and point out how you feel that certain evidence and factors have not been taken into account in the original adverse decision.
In fact, members have had successful reconsiderations just by doing that.
Good Luck.
bro58