In the plugin compatibility check the same information is displayed with either php 5.3 or php 5.4. The only thing that changes is the php version from PHP Version: 5.3.24;
Server Modules & Resources:
Plugin Version: 0.9.4.1
PHP Version: 5.4.19;
Web Server: Apache
FTP functions: Installed (required for Self-hosted (FTP) CDN support)
Multibyte String support: Installed (required for Rackspace Cloud Files support)
cURL extension: Installed (required for Amazon S3, Amazon CloudFront, Rackspace CloudFiles support)
zlib extension: Installed (required for compression support)
Opcode cache: Installed (APC)
Memcache extension: Not installed
HTML Tidy extension: Not installed (required for HTML Tidy minifier suppport)
Mime type detection: Installed (Fileinfo) (required for CDN support)
Hash function: Installed (hash) (required for NetDNA / MaxCDN CDN purge support)
Safe mode: Off
Open basedir: Off
zlib output compression: Off
set_time_limit: Available
mod_deflate: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_env: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_expires: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_headers: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_mime: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_rewrite: Not detected (required for disk enhanced Page Cache and Browser Cache)
mod_setenvif: Not detected (required for disk enhanced Page Cache and Browser Cache)
Additional Server Modules
New Relic
PHP version: Supported
Operating System: Supported
Web Server: Not Supported. (Apache See NewRelic Requirements page.)
WordPress Resources
"all ok"
Fancy permalinks: /%year%/%monthnum%/%day%/%postname%/
WP_CACHE define: Defined (true)
URL rewrite: Enabled
Network mode: No