Looking on the internet deeply has found these results:

there is no update is the most popular phrase on the web.

there are no updates 1323,000 results on the web	there is no update 1485,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
I mean, there's been no refresh in the data, no update at all. No update on what that 250k was for, but I think we found that bad client that Duke Jones mentioned. No updates in the last four months. No update on who might've clipped John? If no update has been performed, enter the date of the original valuation. There's no update on Liette's status. I mean, there's been no refresh in the data, no update at all. Once again, sir, there is no update from the interrogator.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

there are no updates

1323,000 results on the web

there is no update

1485,000 results on the web

More popular!

I mean, there's been no refresh in the data, no update at all.
No update on what that 250k was for, but I think we found that bad client that Duke Jones mentioned.
No updates in the last four months.
No update on who might've clipped John?
If no update has been performed, enter the date of the original valuation.
There's no update on Liette's status.
I mean, there's been no refresh in the data, no update at all.
Once again, sir, there is no update from the interrogator.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.