Flow text to even/odd pages only (parallel pages)

@Eugene Tyson Thank you for this reply.  Your file works exactly as I wanted it to.

I can't understand what I am doing wrong when I follow your very clear instructions.  Can you identify what I am doing wrong?

I make a two-page parent.  On the first page, I make a text box.  On the second page, I make a second textbox.  I do not link them. 

I click and drag the two-paged parent into the pages, it makes the two pages.  I do this again to have four pages.

From there, I free the text boxes from the parent by control-shift clicking on each one individually on pages 1-4.

Then I click the outport button and link textbox on page 1 to page three (the icon is a little chain).  I do the same for 2 to 4.  Testing as this point with placeholder text has 1 overflow to 3, and 2 to 4 which is perfect.  Then I have problems.

I copy (control-C) the very long text and paste (control-V) into page 1.  It flows to page 3 and then overflows.  No additional pages are created.

If I add pages 5 and 6 from the two-page parent, free the textboxes as above, click the overset outflow box (red) and click into page 5 textbox the following possibilities happen:

1. click, no shift (link icon) - fills textbox, overset red box appears at bottom right, no new pages
2. shift-click in the middle of the textbook (squiggly overflow arrow in between two parentheses)- creates a new textbook where I click, overflows onto the next page and makes necessary number of pages disregarding even/odd. (1-->3-->4,5,6,7 etc.)
3. shift-click in the upper left corner of the textbox (squiggly overflow arrow with upper-left right angle)- overflows into the textbox and then overflows into the next page and continues sequentially (1-->3-->4,5,6,7 etc.)    
4. shift-click very carefully in the inport button on the top left of the target textbox (the overflow arrow in between parentheses)-  Fills only the textbox, doesn't generate new pages.  
5. shift-click very carefully in the inport button on the top left of the target textbox (icon as the overflow with the right angle)-  Makes a new textbox size of parent textbox.  Overflows as 1-->3-->4,5,6,7 etc.

I attached a file to show you what I have done. 

Thanks in advance!