The “name_like” parameter was changed in WordPress 3.7 to match terms that contain the “name__like” string. Use this plugin or use the function from the plugin file in your own (child) theme if you want it to only match terms that begin with the “name__like” string as it was prior to 3.7.
This reverses the changes made in this trac ticket.
https://core.trac.wordpress.org/ticket/8214
The “search” parameter does almost exactly what the “name__like” parameter does now (in 3.7), the difference being it also searches in term slugs. Use both parameters (as it was before 3.7) to get the terms you want.
See: https://codex.wordpress.org/Function_Reference/get_terms#Parameters
Note: this plugin only reverses it on the front end of your website for WordPress versions 3.7 and up.