About dirty tools,reports are variable,some say,it will not spread some say it will.
I do wash my cutters any time I prune live wood on different trees just to be sure.
Of course bringing in your Orchard new trees in late Spring or Summer can bring fig mites,that will do damage to your trees all Summer long,till they die ,the next Winter.
It is a more complex subject,that every one,can have an opinion,on how to avoid it
In short,it is like that.
Fig mites spend Winter under dead debree close to surface ,under the tree.
In Spring when soil get warm,they move up inside growing buds ,when they start opening.
If you buy a tree ,late in Spring and it comes from a climate where the fig mites live,an insecticide,that will kill the mites should be used.
Of course ,the insecticide has to be tolerated by fig tree.
I have no idea what insecticide will do ,but I am sure someone ,in the industry know.