No, you will not see the less common occur more frequently. You will see the same frequency but in a more condensed timeframe. A 1:1000 event should still occur 1 in 1000 times but the 1000 events may take 50 hours live as opposed to 16.67 hours online. Frequencies of results are independent of how often the event being looked at occurs per X amount of time.
Interesting thought that the greater the number of instances per hour (despite the same frequency) could affect someone’s perceptions though. I hadn’t thought about that before and will need to let that idea germinate for a while to see if it makes sense. It sounds right from 1st read even though it doesn’t actually matter from a mathematical standpoint.