https://FillinPDF.com offers a simple solution for this.
Visualize a single spreadsheet. Uploaded PDF form templates are listed on the left. Saved (filled in) forms are listed on the right.
Use "Duplicate" option to auto-fill data from one filled in form to another instance of the form. Send live shareable link to any form, so recipient can fill in the rest of the form and submit. The completed form is submitted back to the original "spreadsheet". Very simple. Those who fill in shared forms do not need to install any special software. it just works.
Let us know if you need specific integration with Airtable, by clicking the "Contact" link at the top of our website at the above URL.
We have specialized in fill in PDF form software for 25 years.
Dean Westover, President
Choices Software, Inc.