“The Scrub Ruler is used solely for Scrubbing and Seeking and can be turned off by right-clicking in the Timeline and selecting Disable Scrub Ruler from the dropdown menu.” Have a look at Timeline
If you don’t want or need scrubbing at all - then not only can you remove the Scrub Toolbar you can also hide the Scrub Bar,
The Scrub Bar is the gray bar directly under the Timeline - to hide it just right-click in the Timelin or in the Scrub Ruler and select “Disable Scrub Ruler”.
This will give you a liitle more screen real-estate - but more importantly it will stop you inadvertently moving into Scrubbing mode.