Reading your scenario, its possible tag sequencing might have unintended consequences. Since it's like adding a new trigger to the event tag - it would make a specific event tag always trigger after the pageview tag, regardless of the triggers it already has in place.
So you'd only want to use this if you always wanted the event tag to fire after the pageview. If the event tag is only triggered on some pages, you'd want to avoid this.
Similarly you would also need to remove your current triggers from your event to stop them firing before the pageview.
Instead, if the events are triggered for a certain URL, update them to trigger on gtm.dom (when the page's dom has loaded) or even gtm.load (when the whole page has finished loading) rather than gtm.js (when the gtm script first executes, which is the default used by your pageviews).
That means they should always trigger later in the GTM load process than pageviews, without forcing them to trigger on every single page.