Performance of several get_option() calls

If you check the implementation of get_option() you’ll see that in line 168 it calls wp_cache_get() like so:

$value = wp_cache_get( $option, 'options' );

This means multiple calls to get_option("style_settings") within the same PHP execution will be served from cache. There is no need to re-invent this, as you might break other functionality with it. (There are various filters and hooks in the get_option() call with which plugins may interfere with this. Unless you have specific reasons, you usually want these to be executed.)