Looking on the internet deeply has found these results:

having said that is the most popular phrase on the web.

having that said 1476,000 results on the web	having said that 13,190,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
It doesn't look like this phrase is very popular! The search could not find any examples on the internet.	But having said that, I need to know about every aspect of my father's life. But having said that, let's go to your marks. Now, having said that, I'd like to disabuse you of any notion that we're out searching for Hannibal Lecter. But having said that, we have a small but dedicated fan base somewhat paradoxically. But having said that, it is important to get each trade dispute in proportion. But, having said that, I believe things are reaching the point where clarification is necessary from several points of view. But, having said that, boy, they were really impressive.

having that said

1476,000 results on the web

having said that

13,190,000,000 results on the web

More popular!

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

But having said that, I need to know about every aspect of my father's life.
But having said that, let's go to your marks.
Now, having said that, I'd like to disabuse you of any notion that we're out searching for Hannibal Lecter.
But having said that, we have a small but dedicated fan base
somewhat paradoxically.
But having said that, it is important to get each trade dispute in proportion.
But, having said that, I believe things are reaching the point where clarification is necessary from several points of view.
But, having said that, boy, they were really impressive.