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WP Add Header Scripts will insert a script that was set between HEAD tag and HEAD tag. 
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WP Add Header Scripts

WP Add Header Scripts will insert a script that was set between HEAD tag and HEAD tag.

Off Site Services

Allows admins to add Google Tag Manager code to your site and use it only when site is switched to “Search Engine Visibility”.
Use Settings->Reading: check/uncheck “Search Engine Visibility” and add code to “GTM code fields”.

GTM Code Visibility

Easily add Google Tag Manager code to your site and use it only when site is switched to "Search Engine Visibility".

WP Add Header Scripts vs GTM Code Visibility