The age limit and birth restrictions are both pretty lame restrictions because a murderer or someone with a low IQ, or clinical psychopath, fraudster, con men, are all still allowed to run.
Let the people decide if a specific 20 something year old is too inexperienced, or if Elon/Arnold are not good enough (not that Elon would ever run, but Arnold might have)
Also by age 35, humans on average are already mentally passed their prime:
When Do Mental Powers Peak?
Research suggests that certain mental abilities reach their highest points at the following ages:
- 18-19: Information-processing speed peaks early, then immediately begins to decline.
- 25: Short-term memory gets better until around age 25. It remains fairly steady until it begins to decline around age 35.
- 30: Memory for faces peaks and then starts to gradually decline.
- 35: Your short-term memory begins to weaken and decline.
Based on the above age 35 should probably be a maximum not a minimum
The real question is, how much experience do you have at a young age? Not much.