Are you using the Shortcodes, Blocks, or Elementor widgets?
If using the Shortcodes, use the assigned_posts="post_id"
option on each of the shortcodes. This will tell Site Reviews to assign new reviews submitted on the current page to that page. If using the Blocks or Elementor widgets, use the Assigned Posts option in the Block/Widget settings.
Now if instead of displaying the review form on your posts, you are using a single page to submit a review for all 1000 of your posts, this is a little more tricky as you will need some way to tell Site Reviews which Post you are writing the review for.
A possible solution for this is using the Code Snippets plugin to add the following code snippet to your site: https://pastebin.com/0vfLaj3m
With that code snippet, you could add a button with the following URL (where 13 is the Post ID of the page you want to review): https://website.com/submit-review/?assigned_post=13
That URL would load the /submit-review/ page and set the hidden assigned_posts value in the form to the Post ID of 13.
The problem with this, however, is that you would need to change the ?assigned_post=13
part of the URL used in the button on each Post with the correct Post ID.