Due to constant opinion change? What?

...look.

The cult classic came about largely because of television and the rental market.

The reason they were considered "cult classics" is because traditionally, they were not very popular upon their initial release, and often bombed at the box office, but fans started becoming obsessed with watching them multiple times whenever:

A) The movie was broadcast frequently on television because the rights were cheap to obtain.

B) The movie was released on home video and fans started buying/renting the movie repeatedly to watch it over and over again.

Do you see how there was always an apparatus driving the sudden change in popularity? There was always a catalyst. Television networks looking for cheap content? Cult classics were born. Hell, that's literally the story behind A Christmas Story.

Home video didn't meaningfully exist until the 80s. Yeah, there were a few options in the 70s...that almost nobody knew about and were too expensive for the average consumer. Ever wonder why so many cult classics come from that era?

That 99 cents for 5 days rental did a lot of work, let me tell you. When VCRs finally became more affordable, the home video market opened up to a much bigger market, making it easier for a film to gain cult status just from rentals.

But even then, the reason a previously unpopular film became popular in modern times was because it was suddenly affordable and possible to watch them more frequently.

I would also argue movie channels like HBO drove the cult factor quite a bit as well, because a lot of my favorite cult movies are titles I saw dozens of times on those channels.

But...do you notice something about this phenomena that is no longer as present today as it was then?

They still show movies that are cheap to license on television....but who watches television anymore?

They still show movies that are cheap to license on streaming services as well....but the unpopular titles are typically buried by algorithms favoring more popular titles, so the types of movies that COULD become modern cult classics are more difficult to find.

Long story short, the means by which a movie can develop a cult like following are far more limited today than they were 30-40 years ago.

Is it still possible? Sure. Is it likely? No.

I would say the closest modern example I can think of is the Bad Ben series of films. Just some guy making stupid horror movies in his home, but they're absolutely hilarious, and have developed popularity not through promotion, but more through word of mouth.

So really, opinions changing is absolutely necessary for a film to become a cult classic, and I have no idea what OP meant by that being a problem instead of the catalyst for all cult films.