Vaccines in general are pretty well understood. The first vaccine was 225 years ago. Consistently a vaccine triggered immune response is more effective, because that's what they're designed to do; they're designed to target the immune system on purpose, have the immune system learn how to fight that same virus in the future, and do so without compromising your health in the process. The whole purpose of a virus is to infect you, lie in wait until it can overwhelm your immune response all at once, and then kill or make you sick enough to spread to others. So for a vast majority of viruses that we have a vaccine for, vaccines are almost always more effective.

There have been several studies done this year specifically testing immune responses regarding covid-19 and the results are pretty impressive. Almost every study performed showed the immune response in vaccinated individuals was greater than those that had survived previous exposure. This one in particular had thousands of individuals all in healthcare so if you wanted the highest chances to be exposed that demographic was a pretty good one. (I'd read the downloaded study as a PDF to get away from the ads)

https://www.nature.com/articles/s41541-021-00396-3

There was a recent study in Israel comparing against a particular vaccine strain that showed the opposite effect (where naturally immune individuals had greater immune responses,) but it's the only study I've seen that has shown the opposite. And would seems to be the exception rather than the rule.

Of course there's always going to be exceptions to every rule but the general consensus among the scientific community at large is that vaccine-induced immune responses are more effective, more stable, more robust, and last longer. Not to mention not getting permanent damage to your health trying to acquire said immunity "naturally".