As the old saying goes vs It’s well known that

Some examples from the web:

• This was something... as the old saying goes, it was something personal.
• So, as the old saying goes, if it looks like a linguistic script and it acts like a linguistic script, then perhaps we May have a linguistic script on our hands.
• As the old saying goes, however: charity begins at home.
• As the old saying goes, if at first you don't succeed, try, try again.
• As the old saying goes, we are as strong as our weakest link.
• As the old saying goes: it's when you least look for something that you find it... most.
• As the old saying goes, two is company, three is a crowd.
• As the old saying goes, 'The customer is always right'.
• As the old saying goes, "Count your blessings, 'cause it turns out there's two of them."
• Ma... as the old saying goes:
• There is only one way to do all that: as the old saying goes, unity is strength.
• Because, as the old saying goes, when the wife remains happy, the knife can stay in the drawer.
• As the old saying goes:

Some examples from the web:

• It's well known that we do provide the finest First Class service.
• It's well known that he finds you most attractive.
• It's well known that when one goes south the latitude becomes negative
• If two friends have a reciprocal transaction, like selling a car, it's well known that this can be a source of tension or awkwardness.
• It's well known that New Zealanders are off-the-hook dirty.
• Anyway, it's well known that a woman's heart... is more vulnerable to... a hussar's charge than a foot soldier's gait.