Yes, I would. Sure, you can have a democracy without judicial review. But, in our democracy, the fact is that judicial review is the law of the land. So trying to overrid that would involve the President putting himself above the law. If there is then no punishment for that president for doing so, you then would have a dictatorship.
And, yes, I’m aware of what happened with Lincoln. It gets very, very close. But, ultimately, it was not the Supreme Court who made the decision, but a lower one. And Lincoln did back off from suspending habeus corpus for a while. When he started doing it again, he got Congress to pass a law, which was legal even by the previous federal decision.
If Lincoln had just kept going, and the Supreme Court even told him to stop, then I would consider him a dictator. A benevolent one who willingly gave up his power, but still a dictator. Being above the law is the line.
There’s very little evidence that Allende wanted to be a Left-wing dictator. He headed a broad coalition of left-wing parties, some of which believed in democracy and others of which didn’t, and one of the (posthumous) criticism of him from the Left was that he didn’t take authoritarian measures like arming worker’s militias, purging the military, assuming emergency powers, etc… IIRC he had scheduled a plebiscite or something to determine whether he would continue in office, for shortly after the military coup happened (obviously the plebiscite never ended up happening).
Klement Gottwald would be a better example of a democratically elected left-wing Prime Minister who ended up abolishing liberal democracy. Gottwald only got a plurality vote though, not a majority, so you could argue the majority of Czechoslovaks voted against him.
That is a good example. However, as either French examples, I have to query whether it meets the criterion in the OP of a stable and well-established democracy. Czechoslovakia spent WWII under a particularly brutal Nazi occupation (see the wiki articles on Reinhard Heydrich (a/k/a the “Butcher of Prague” and “Hitler’s Evil Genius”) and the aftermath of his assassination by Czech partisans) and then fell under the Soviet sphere of influence after WWII, as the wiki article on Gottwald mentions, with Stalin putting pressure on Gottwald to purge the non-communist members of his government.
The Chilean version of Congress called on the military to stage a coup. Also the Congress tried to impeach but failed. The Supreme Court said he was destroying balance of powers by overriding and ignoring the courts.