In the past, comic stories were usually contained to single issues. The story was set-up and wrapped up within that one issue and you would read a different story the following month. There would no doubt be long-standing effects from that story for the characters, but that would be the end of that actual story. These narratives are “one-shots” or “standalone” issues or tales as opposed to “story arcs” and “storylines.”
The era someone grew up during when he or she began reading might influence what type of tale is preferred. This writer has read a decent amount of both types and has no preference as long as it is a good read. That is regardless of how many issues it took to tell it, be it one or seven.
Not that this is a raging debate, but there are pros and cons to each. It is more a gauge of how the industry has changed. Whether that change came with or against the times is dependent on the individual. One-shots allow fans to enjoy a read that does not require much effort outside of reading that single issue. These shorter adventures are enjoyable without having read anything prior. This would probably fit someone who is not a regular reader.
One aspect that does not always provide a clear pro or con deals with characterization. The level of this component will depend on the creative team. With story-arcs, readers will have a good amount of characterization as well as a heavy dose of plot. You might be thinking that because a story consists of more than one issue that you would get more characterization, but this is not always true.
The suspense longer sagas give readers can keep readers engaged because they will not always know what is going to happen next. If one issue ends on a cliffhanger, you are eager and ready for the next installment. That aspect can intensify a story and make it better.
The multi-issue format for stories is not always about moving the plot forward in the sense that something is happening and certain characters are involved but are not actually progressing. These are also good for creating and increasing character interaction while carrying it over a multitude of books. That is not a slight against standalones, because creators can still provide plenty of characterization in those. At times, it may be limited because there are only so many pages in a standard issue. Then again, with the done-in-one style, there might not be much in the way of a standard plot. Readers may have an issue on their hands devoted strictly to the relationship between a set of characters.
You may prefer one to the other, which is fine of course, but in limiting yourself, you may have or may miss good adventures that could present changes for characters. But then again, it actually might be hard to limit yourself in such a way, because the trend in recent years has become that of stories branching across multiple issues.
As stated, as long as it is a good read, there should not be a problem. If you miss an issue for some reason, then you may have to do a bit of hunting to get the whole event. Back-issue hunting is a part of the hobby that many people, including this author, enjoy greatly. And as always, happy reading.