Hello Solirossi!
To get to the question you asked prior to the deviation:
"If there are a few gum leaves that have fallen through the lawn do you expect that will be an issue with a reel mower?"
I have no direct experience with gum nuts or leaves.
I personally do not believe it will be an issue, provided you prep the
lawn prior to using the reel mower. They are precision machines and even small
hard objects can put them out of set - but generally with no damage.
Reel mowers do require higher maintenance than rotaries.
Best advice is to understand the process of 'back-lapping' and do
this at least once per mowing season, or employ the method to repair
potential minor damage to the reel and bottom blade due to 'gum nut strike'!
I hope this helps.
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JACK