I am saying, if you put something inside a HTML section, how can it display somewhere else?
And opposite, if you display something outside the HTML, how can it display inside the HTMl instead?
So, I replicated it locally. On my end it works.
There must be a incoherence somewhere on the Website you develop.
On the link you provided I see Parametric Searches and the div class "product-archive-intro" is not even present, according the HTML Source.
1. Parametric Searches are not possible on archive pages
2. The HTML you show me above is present there, but only starting from the Loop.
A simple test will be output bare text in your div class "product-archive-intro"
Do you see it?
This is the test I would do as first.
I suspect something is overwriting your Archive.
You also mention, "any plugins to create filters end up above the description too"
I don't understand what you mean with this, and we need to handle one issue each thread.
So, if I can do the tests need and described here:
https://toolset.com/forums/topic/woocommerce-taxonomy-description/#post-389920
provide me Login details.
If I can not do the tests, I can look around, but limited test possibilities won't allow me to solve it most probably.
In this case, also provide either a Test site or a Site's Snapshot.
I would need a sites snapshot if possible.
We usually recommend the free Plugin "Duplicator" for this porpoise.
If you already know how Duplicator works
(http://wordpress.org/plugins/duplicator/),
please skip the following steps and just send me the installer file and the zipped package you downloaded.
★ Duplicator Instructions
hidden link
Send me both files (you probably want to use DropBox, Google Drive, or similar services, as the snapshot file will be quite big)
❌ IMPORTANT ❌
Remember to create or keep an admin account for me before creating the snapshot, or I won't be able to login. You may delete the new admin account once the snapshot has been built.
I will enable your next answer as private so you can provide me the information securely.
Thank you for your patience and collaboration