How to remove a Line Item from a Fulfillment via API

I would like to remove a single line item from a specific Fulfillment, using the API endpoint documented here: https://shopify.dev/api/admin-rest/2021-10/resources/fulfillment#[put]/admin/api/2021-10/orders/{order_id}/fulfillments/{fulfillment_id}.json

However, making a the request with a line_item array that does not include the line item I’m trying to remove does not actually remove that line item from from the Fulfillment’s line_items array.

Is it just not possible to modify the line items of a fulfillment? I thought this issue may be similar to this post: https://community.shopify.com/c/shopify-apis-and-sdks/how-to-remove-line-item-from-order-using-shopify-rest-admin-api/td-p/1432600

But in that example, the documentation explicitly says line items cannot be edited. The documentation does not say that for the Fulfillment API.