LOL!

I think you're still not clear on this ;-)

You can't trade it,
If one person has mon-wed,
the other person has thurs-sun,
how will they ever trade?

The days each has would never change.

The same person would always have mon-wed, and the other person would always have thurs-sun, there are only 7 days in a week, to trade it as you propose, the person who has thurs-sun would have to take mon-wed as well on the following week for the other parent to have thurs-sun and they would also have to take mon-wed to do the swap as you propose.

Which in essence is a week + weekend each.

The reason for the transitions every 2-3 days in the beginning is actually to make it easier on the kids who wouldn't be used to not seeing one of their parents for 7 days.

I agree with the week + weekend after the kids got more used to the separation.