Please let me note, that it will remove the notifications icon for everyone in the admin panel, but not the notifications themselves.
However is such a solution suits you, you can make it even better, by changing the code:
{include file="components/notifications_center/opener.tpl"}
with this code:
{if $auth.user_id == 1}
{include file="components/notifications_center/opener.tpl"}
{/if}
In this case, the bell icon will be displayed only for the user with ID = 1, which is the main administrator, by default. Also it will be a good move to make these changes via menu:general hook, instead of changing core file.
https://docs.cs-cart.com/latest/developer_guide/addons/hooking/tpl_hooks.html