You have a difficult time answering "yes" or "no." I think you have indicated "yes," the Jewish refugees deserved to be denied refuge by Roosevelt and returned to Europe.
You're being ridiculous.
The key word you used is "deserved," which I answered: clearly they deserved entry to Cuba, which they were promised and had paid for.
Failing that, they clearly deserved return to some European country not then in the grasp of anti-Semitic Nazis, which is what they all got.
But if you wish to argue they deserved refuge in the United States, then we have to ask: how many millions of others also "deserved" refuge here?
Remember, WWII killed circa 75 million people, half of them Europeans and none of whom (except some top Axis leaders) truly "deserved" to die.
Plus, on top of the 75 million who died, there were hundreds of millions wounded and/or driven from their homes.
Didn't all those hundreds of millions face reasonable fears of persecution & death, and therefore "deserve" refuge in Franklin Roosevelt's America?
And while we're on this subject, think of today -- around the globe, hundreds of millions are being persecuted and sometimes killed, especially Christians because of their faith.
If everyone who is persecuted and has reasonable fears of death "deserves" refuge in the USA, why don't we today open the flood gates for hundreds of millions worldwide?
So, the obvious answer is: because that's totally insane.
There's no way the US can or should be the refuge for everybody anywhere who's been mistreated & fears death.
The best we can do is pick a few extreme cases, while internationally supporting the remainder where they are.
In April 1939, the MSS St. Louis passengers were not in imminent danger of death, so long as they didn't return to Germany, and safe-havens for them is just what was arranged.
That's why I don't blame President Roosevelt as some heartless SOB, but credit him for doing good under difficult circumstances.