You are correct.
Flew many, many times into/out of DCA. The MD90 was one of, if not the only one that had no noise time restrictions so we went there a lot.
The two LDA approaches were basically something to get you down where you could see the river and complete the approach to 19.
Another interesting thing is you can be flying that approach with up to a 10 knot tailwind. Yup! Twisting and turning, into a 6000 foot runway with a 10 knot tailwind, sometimes a quartering one to boot! They are really reluctant to swap runways as it is a pain in the wazoo with all the airspace restrictions around there. Would they ever "fudge" on the wind callout? Well that's one of those things as a pilot you've probably wondered after you land and see a 15knot wind sock standing straight out, with the wind from behind you, as you clear the runway!
True "War Story" now...
First time I ever saw the "River Visual" I was a F/O on a MD88. The approach lines you straight up with the runway I THOUGHT we were going to land on! (Note the very dangerous operative word "THOUGHT" especially when it is used in conjunction with a F/O! who thinks ((there it is again...bad Jon, bad, bad)) he KNOWS it all!)
I was sitting there fat, dumb and happy wondering what all the big deal was about that winding, twisting approach. I mean it was straight in! I could see the runway from 10 miles out. Piece of cake.
Then about 100 feet above the ground, while I was sightseeing, looking UP at the USA Today building...WHAMMO! the Captain rolls in about 30 degrees of bank, twists and turns twice and plants that sucker on the end of the runway! NOT the runway I had been watching for the past 10 miles.
The approach lines up with runway 15 but you land on 18 (this was the designations back in the late 80's). One of those times I was so far behind the airplane I would not have been hurt had we crashed!
Did bring up an important lesson though. Before you do something the first time, REALLLLLLLY know what it is you are about to do! Don't ASS U ME you know!