Hi!
I just checked the address, but it loads fine for me. Are you sure it’s not a cache related problem?
Ajax search pro does not directly load it’s stylesheets, but it’s passed to the wordpress style loader via wp_enqueue_style() function, and the base URL is requested from wordpress from the $upload_dir[‘baseurl’] global variable. I’m suspecting a cache related issue, but let me know if it still persists.