Connections apparently not reused when using stream()

[neoq]

In this example:

import httpcore
import anyio

http_pool = httpcore.AsyncConnectionPool(
    max_connections=2,
    max_keepalive_connections=2,
    keepalive_expiry=60,
    http2=False,
    http1=True,
)

async def main():
    async with http_pool.stream(
        method="GET",
        url=f"http://github.com/",
    ) as response:
        print(response)
        print(http_pool.connections)
    print(http_pool.connections)

    async with http_pool.stream(
        method="GET",
        url=f"http://github.com/",
    ) as response:
        print(response)
        print(http_pool.connections)
    print(http_pool.connections)

anyio.run(main)

I would expect the output to show one AsyncHTTPConnection with Request Count: 2 being used. However, I see the following:

<Response [301]>
[<AsyncHTTPConnection ['http://github.com:80', HTTP/1.1, ACTIVE, Request Count: 1]>]
[]
<Response [301]>
[<AsyncHTTPConnection ['http://github.com:80', HTTP/1.1, ACTIVE, Request Count: 1]>]
[]

indicating the context manager closes the connection in between.

With http2=True, http1=False I get the expected connection reuse:

<Response [301]>
[<AsyncHTTPConnection ['http://github.com:80', HTTP/2, ACTIVE, Request Count: 1]>]
[<AsyncHTTPConnection ['http://github.com:80', HTTP/2, IDLE, Request Count: 1]>]
<Response [301]>
[<AsyncHTTPConnection ['http://github.com:80', HTTP/2, ACTIVE, Request Count: 2]>]
[<AsyncHTTPConnection ['http://github.com:80', HTTP/2, IDLE, Request Count: 2]>]

With regular request(), not stream():

import httpcore
import anyio

http_pool = httpcore.AsyncConnectionPool(
	max_connections=2,
	max_keepalive_connections=2,
	keepalive_expiry=60,
	http2=False,
	http1=True,
)

async def main():
    response = await http_pool.request(method="GET", url=f"http://github.com/")
    print(response)
    print(http_pool.connections)

    response = await http_pool.request(method="GET", url=f"http://github.com/")
    print(response)
    print(http_pool.connections)

anyio.run(main)

I get the connection reuse I expect, but I would like to stream both request and response body.

<Response [301]>
[<AsyncHTTPConnection ['http://github.com:80', HTTP/1.1, IDLE, Request Count: 1]>]
<Response [301]>
[<AsyncHTTPConnection ['http://github.com:80', HTTP/1.1, IDLE, Request Count: 2]>]

Maybe I simply misunderstand the purpose of the context manager of stream
Thanks