The facts are that surpluses were routine before the 1960s, under both parties. Since then, not so much.
1998 was the first year the United States government recorded a budget surplus since 1969 [0] (Clinton with a GOP Congress).
Since 1981, the deficit deepened under Republican administrations and shrank under Democratic ones [1]
That aligned with the creation of a right-specific media system where "Republicans don't fight Republicans" - so there can never be any internal accountability.
[0] https://clintonwhitehouse3.archives.gov/WH/New/html/19981028...
[1] https://www.yahoo.com/news/articles/fact-check-us-deficit-gr...
But it doesn’t matter. Those historical parties have nothing in common with their namesake parties today.
So, I agree with your conclusion.