A statesman wants his programs to help the general public and be remembered for their success rather than his. A politician only cares that his name is remembered no matter what his programs have accomplished for the public good.
A politician often is just a roadblock to success by his method of delaying decisions by vote count. An example of a successful program is the Affordable Care Act. Democrats invented the program and Republicans (not Democrats) named it "Obamacare." Former President Barack Obama would just as soon not have his name attached to the bill.
Another example is the Marshall Plan named after Gen. George C. Marshall and signed into law by President Harry S. Truman. The bill was actually called "the European Recovery Program."
Some politicians only want their name remembered rather than their votes for a better society. The list of Republican politicians that fit this description are as follows: Gov. Ron DeSantis, of Florida, Sen. Ted Cruz, of Texas, Sen. Josh Hawley, of Missouri, ex-governor of New Jersey Chris Christie, Sen. Mitch McConnell, of Kentucky, and of course the most famous former President Donald Trump. Trust me when I say, "President Trump will be remembered." What he will be remembered for is still in question.