It's a perfect explanation...
And... If you have some "magical successes" (for example: an elf) you can spend one to improve the healing.
In a example: instead of one use of the healer's kit or risking a bad roll, even with the advantage of the herbalism kit; you can spend a magical success which means a direct 20 on a die roll.
So, if you have proficiency +2, medicine +3 (for +5); you spend a magical success (+20) - 10 ... That would be 15 points healed.
That only happens with certain cultures. In fact, I think the only one who can do that are Elves. But you can imagine the high support that can provide an Elven Scholar.