There are many reports of high compliance. E.g. https://www.politico.eu/article/sweden-coronavirus-lessons/ "93 percent of the population say they are following social-distancing recommendations." Maybe compliance has waned since. I don't know.

Here's a typical narrative that illustrates why we should be more careful about the word "lockdown":

Alex: "Sweden has successfully managed COVID19 without a lockdown."

Bob: "Great, so we should just go and live our normal lives then."

Alex: "Actually no. We need to cut off most social contact, ban visitors to rest homes, and work from home when possible."

Bob: "Er, that sounds like a lockdown to me!"

Alex: "WELL ACTUALLY it's not a lockdown as long as the government doesn't assert the legal authority to enforce these restrictions."

Bob: "... but the effects on health, well-being and the economy will be the same as a lockdown?"

Alex: "If everyone complies, which we expect them to, then yes, but the important thing is that we don't call it a lockdown."