I am not familarir wit hthe Cool tyre concept but sounds like it might provide shock absorbtion. In North America the soft inner core tyre we call "Super Soft" made by Main Tire co in teh state of Maine are very common. In your area they might be referred to as elastic tyres.
Your biggest issue will be "corrosion" the fertilizer dust on the floors will be kick up in the air by the forklifts tyres. and settle all over the forklift & humidity will make it stick like glue to the forklift. Like I stated before, grease & lubricate, clean or replace the engine air filter often, inspect the brake system periodically - meaning remove the front tyers & brake drums the fertilizer dust will get in there & deterioate the cables &, springs & linkage. Wash teh unit down thoroughly. Get advise from your dealer on how to wash the unit down - there are a lot of electronic devises on todays forklift & moister can harm them. Make cert all celectrical connectors & exposed terminals are thoroughly grease with a diaelectric grease (non conductive ).
Dust prtect will help but corrosion protect will be better