nginx proxy cache gzipped contents

nginx.lb.conf

http {
    upstream web_backend {
        server web01:80;
        server web02:80;
    }
    
    proxy_cache_path /var/cache/nginx/cache levels=1:2 keys_zone=cache-space:100m max_size=1024m inactive=1h;
    proxy_temp_path /var/cache/nginx/tmp;
                      
    server {          
        listen   80;  
        server_name example.com;
                      
        location / {                        
            set $ae "";
            if ($http_accept_encoding ~* gzip) {
                set $ae "gzip";
            }
    
            proxy_no_cache        0;
            proxy_cache_bypass    0;
            proxy_cache           cache-space;
            proxy_cache_key       $ae$scheme$host$uri$is_args$args;
            proxy_cache_valid     200 5m;
        
            proxy_redirect        off;
            proxy_next_upstream   error timeout invalid_header http_500;
            proxy_cache_use_stale error updating;
            proxy_conneout        2;
        
            proxy_set_header      Host                $host;
            proxy_set_header      X-Real-IP           $remote_addr;
            proxy_set_header      X-Forwarded-Host    $host;
            proxy_set_header      X-Forwarded-Server  $host;
            proxy_set_header      X-Forwarded-For     $proxy_add_x_forwarded_for;
            proxy_set_header      Accept-Encoding     $ae;

            proxy_pass            http://web_backend;
        }
    }
}

nginx.rpx.conf

http {
    upstream web_backend {
        server 127.0.0.1:12345;
    }   
    
    gzip  on;
    gzip_http_version 1.0;
    gzip_types        text/plain
                      text/html
                      text/xml
                      text/css
                      application/xml
                      application/xhtml+xml
                      application/rss+xml
                      application/atom_xml
                      application/javascript
                      application/x-javascript;
    gzip_disable      "MSIE [1-6]\.";
    gzip_disable      "Mozilla/4";
    gzip_comp_level   6;
    gzip_proxied      any;
    gzip_vary         on;
    gzip_buffers      4 8k;       
    gzip_min_length   1000;
            
    server {
        listen   80;
        server_name example.com;
            
        location / {
            proxy_pass http://web_backend;
        }
    }       
} 

they do not work.can not cache gzipped js/css

It looks like server_name in second file must be changed to server_name web01 web02;?