HAProxy close front-end connection after N HTTP requests - haproxy

Question

I'm attempting to configure HAProxy to close a client TCP connection after it has been used to process N requests. My goal is to have our long-lived clients occasionally re-establish connections that are otherwise kept-alive by HTTP Keep-Alive.
Basically I'm trying to implement the equivalent of nginx's keepalive_requests (http://nginx.org/en/docs/http/ngx_http_core_module.html#keepalive_requests).
I currently have something like:
frontend https-in
bind *:443 ssl crt /etc/ssl/private/cert.pem
stick-table type binary len 32 size 1000 expire 75s store gpc0
acl close_connection sc0_get_gpc0 gt 3
acl exceeded_connection sc0_get_gpc0 gt 4
http-response set-header Connection Keep-Alive unless close_connection
http-response set-header Keep-Alive timeout=75\ max=3 unless close_connection
http-response set-header Connection Close if close_connection
timeout http-keep-alive 75s
timeout client 75s
tcp-request content track-sc0 ssl_fc_session_id
tcp-request content reject if exceeded_connection
http-request sc-inc-gpc0
default_backend https
backend https
option httpchk GET /health
server localhost 127.0.0.1:8080 maxconn 1000
But some problems with this include:
The SSL session ID may be re-used across connections
This ends abruptly closing a connection from a client when they've exceeded the threshold (assuming they ignore the Connection: Close)
Are there any recommended approaches for something like this? Ideally I would like to:
Track the counter based on individual TCP connection (not src to avoid the case where the same IP has multiple connections established)
Close the connection on the final response (at the same time I send Connection: Close)
But I haven't been able to track down ways to do either of those.
Thanks!
Edit
I was able to devise a better way to track unique TCP connections by creating hashing a tuple of the src,src_port,dst,dst_port:
http-request set-header X-Unique-Id %[src]:%[src_port]:%[dst]:%[dst_port]
http-request set-header X-Unique-Id-SHA %[req.fhdr(X-Unique-Id),sha1]
http-request track-sc0 req.fhdr(X-Unique-Id-SHA)
I'm not crazy about having to create the dummy headers, but this seems to work.