When using the "appear on all pages" toggle, is there a way for the item to not always stick to the same position on the page?

Question:

Using the wix editor on a multi page site, I have a strip that needs to appear on all pages. After toggling the “Show on all pages” switch, I am glad every change I make in the main design - will reflect it it’s aliases on other pages of the site.
BUT - each page has a different information structure, and thus I can’t have them all appear in the same position on the page…! And every time I drag that strip to the end of the text - it gets dragged on other pages as well.
Dear community, is there a way to keep my smart strip, yet contol an individual attribute it has, such as position on the page?
Many thanks!