Hi Natalia,
Thanks for the question.
The short answer is (and it applies to all of us):
If you get results without using the even-though phrasing, you don't need the even-though phrasing. If you aren't getting results, you need it.
Here are some variations that might feel better:
Even though I got mad and hit my brother, I'm still a great kid.
I'm an awesome kid even when I get mad.
Even though I get mad, being mad is okay.
Here's my long answer:
The even-though statement used on the karate chop points or the sore spot is needed to correct for polarity reversal. Polarity reversal occurs in 40% of folks. It occurs more often in issues having to do with depression, chronic illness, and addictions. Since folks don't always know if they are reversed, the set-up phrase is incorporated into the basic protocol.
If you know how to muscle test, you can test for polarity reversal.
With kids, the language is much lighter and the concept is still very important. By accepting the parts of us that we don't like or label bad, it lets us move forward.
I don't know the books you mention but when working with kids, I always have the mom work her own stuff first.
So for the hitting what would fit for me would be:
(So tapping the karate chop points and saying

Even though my children hit each other, and I hate seeing them hurt each other and that means I'm screwing up as a mother, I forgive myself for having kids that hit.
Even though I hate it that my children hit, I love and accept myself as their mother.
Even though I can't stand to see my children hurt each other, I love and honor my protection instinct.
Even though I hate having to choose sides, I love and forgive myself.
Then after tapping the remaining points for yourself, you'd can come to the kids.
HTH,
Deb.