Cleats are so important for sports. In all there forms. Blade-like or plastic or rubber or even metal.
I couldn't agree more.  We are a little league and football family, so I am well-aware of the benefits.   I will admit to feeling the rubber ones are safer. 
I can understand your need for safety, and a lot of the decision has to do with with the play environment. 
Yes...dirt and grass do.present different needs.  When mushers and dog-sledder use those attachments to their boots, are those considered cleats?
They can be since in English it is any shoe featuring those rotrusions
Do you have much experience using the different types.of cleats?  Which do you like best?
I have a little, I also know about air jordans, a brand of footwear also popular with athletes. 
I didn't know Jordan's manufactured cleats!  I thought they were strictly casual and basketball shoes! 
They don't, but you can find some by nike, and american corporation that makes footwear. 
I am familiar with Nike