How to make gst-launch keep using the same headers with curlhttpsrc ! hlsdemux? - gstreamer

Question

While trying to implement a simple player (with gst-launch) for a CDN that uses the initial headers throughout all streams (probably to avoid bots), hlexdemux and adaptivedemux will not reuse the same initial headers from the initial source for the next requests.
Is it actually possible to have a pre-configured curlhttpsrc to be reused by hlsdemux and its super classes?
This is the pipeline I am using:
gst-launch-1.0 -v \
curlhttpsrc \
name=curl user-agent=my-user-agent \
location=http://localhost:8000/playlist.m3u8 curl. \
! hlsdemux \
! fakesink sync=false
the playlist was generated with:
gst-launch-1.0 -v \
videotestsrc is-live=true \
! x264enc \
! h264parse \
! hlssink2 max-files=5 playlist-root=http://localhost:8090
its output
#EXTM3U
#EXT-X-VERSION:3
#EXT-X-MEDIA-SEQUENCE:43
#EXT-X-TARGETDURATION:15
#EXTINF:15.000000953674316,
http://localhost:8090/segment00043.ts
#EXTINF:15.000000953674316,
http://localhost:8090/segment00044.ts
#EXTINF:15.000000953674316,
http://localhost:8090/segment00045.ts
#EXTINF:15.000000953674316,
http://localhost:8090/segment00046.ts
#EXTINF:15.000000953674316,
http://localhost:8090/segment00047.ts
#EXT-X-ENDLIST
And to mimic the CDN, I used this snippet to serve the playlist from port 8000 and the streams from 8090 as the CDN uses different hosts and with it, I put a user-agent validation to see when my pipeline breaks.
from http.server import SimpleHTTPRequestHandler, test
import sys
class Handler(SimpleHTTPRequestHandler):
def parse_request(self) -> bool:
rv = super().parse_request()
if self.headers['User-Agent'] != "my-user-agent":
self.send_error(404, "Wrong user-agent")
return False
return rv
test(Handler, port=int(sys.argv[1]))