This is not true unless you are wanted by interpol or a very serious record such as murder.
For an American, might crossing into Canada be an easier option?
And if someone was desperate enough to try to hide a US criminal record, Canada is the last country they should try, because Canada and the US share their criminal history databases.
1: https://www.canada.ca/en/immigration-refugees-citizenship/se...
The page is pretty plain language reading which makes it appear very trustworthy.
However, they avoid explicitly saying that past crimes - whether convicted and served or not - don't matter. The DO say that catching the eye of Interpol is bad.