I’m afraid I’ve got no knowledge of the AddThis plugin.
However, what I can say is the ordinarily the add events page uses a theme’s default page template. So, armed with the template tag provided in my last post, it may be possible to stop those icons from being added – the exact approach depends on how the icons/buttons are being inserted in the first place, so it may be worth reaching out to the plugin author for help on this one.
Similarly it’s possible to detect single event pages with tribe_is_event() – so there could be scope to do the same thing – in reverse – with single event pages.