Yes, but that is not what the OP is asking.
I know buyers do not really look at the “online” thing, but his question is good.
Whey you leave the Fiverr tab, but you are still here, working, Fiverr marks you as offline. For me, I do not care about that part. What bothers me is I was on Fiverr and went on another site, so the Fiverr tab is open, email tab is open, but I am in another tab currently. My phone starts buzzing and I look I have an email, I go check the message in Gmail inbox, yes, there is message on Fiverr - but 30 minutes ago, I had to refresh the site to show me the message. So I am on the site, looking at the inbox and I do not get to see new message unless I refresh.
This is frustrating and I see the OP point, to use a refresher when you are online and actually working.
Because the site is not notifying properly and on time.