Could your question be interpreted as "even though it specifically says 5.01 years, what if maybe it's actually 5.00 years and the 1 was added for funsies"?

No, a period of 5 years means it also gets close to Jupiter. This will destabilize any resonance it creates with Earth.

There may be a more complicated resonance with Earth, Mars, and Jupiter. But there is no reason to believe this would have a period of exactly 5 years.