I disagree. Pretty much every premed I've met has done research to some extent. Most programs I know have encourage it, at least for a summer or semester. The goal of most research is to get it published so if your research isn't heading in that direction, something might be wrong.
Writing a paper is NOT significant. Until it's been peer reviewed, it means nothing. Anyone can write a paper, anyone can submit a paper. It's not belittling someone's efforts, it's being honest. You can say you've submitted a paper if you want, but it doesn't carry much weight until the science community reviews it and says it's valid...that's just how it works. For most undergrads, getting a paper is just a matter of getting in the right lab at the right time with the right PI.
Regardless, be prepared to talk about your research and demonstrate that you understand what's going on and be able to show you're not just a lab monkey ( even if you only get to do basic tasks, you can still impress them by demonstrating that you really know the details of what you're doing and why it's important ).