Rust 如何用AxumTower压缩Html内容

我正在try 使用Axum 0.7和lambda_http 0.9创建一个非常简单的API

[package]
name = "api"
version = "0.1.0"
edition = "2021"

[dependencies]
axum = "0.7"
chrono = { version = "0.4" }
cookie = { version = "0.18" }
lambda_http = { version = "0.9" }
serde = "1.0"
serde_json = "1.0"
askama = { version = "0.12.1" }
tokio = { version = "1.35", features = ["macros"] }
tower-http = { version = "0.5", features = ["compression-full", "cors"] }
tracing = { version = "0.1", features = ["log"] }
tracing-subscriber = { version = "0.3", default-features = false, features = [
    "fmt",
] }

use axum::{
    http::{
        header::{ACCEPT, ACCEPT_ENCODING, AUTHORIZATION},
        Method,
    },
    routing::{get, post},
    Router,
};
use lambda_http::{run, Error};
use tower_http::{compression::CompressionLayer, cors::CorsLayer};


pub async fn get_index(request: Request) -> (StatusCode, Html<String>) {
    info!("-> {}", request.uri());
    info!("<- get_index");
    (StatusCode::OK, Html("<h1>/</h1>".to_string()))
}


#[tokio::main]
async fn main() -> Result<(), Error> {
    let comression_layer: CompressionLayer = CompressionLayer::new()
        .br(true)
        .deflate(true)
        .gzip(true)
        .zstd(true);

    let app: Router = Router::new()
        .route("/", get(get_index))
        .layer(comression_layer)
        .fallback(not_found);

当我在本地测试该服务时(使用Cargo lambda)，我得到以下结果:

❯ curl -H "Accept-Encoding: gzip, deflate, br" -i http://127.0.0.1:9000/
HTTP/1.1 200 OK
content-type: text/html; charset=utf-8
content-length: 10
access-control-allow-credentials: true
vary: origin
vary: access-control-request-method
vary: access-control-request-headers
date: Sun, 24 Dec 2023 21:17:29 GMT

<h1>/</h1>⏎

我是否遗漏了一些微不足道的东西，或者API应该返回压缩内容？