Load/unload speed is already as fast as can be supported by the Factorio engine. Research inserter stack size to increase it further. You can add a mod for infinite research to increase it further than is possible in vanilla.
When you increase inserter stack size, it increases it for stack inserters at all 7 levels, and also at levels 2 and 7 it gives a bonus to regular inserters as well. There's only one inserter stack size research to work on, so that's that.
@unne BRL uses the stack size research for stack inserters. I recommend using something like https://mods.factorio.com/mod/InfiniteTech to get infinite research for stack inserter capacity.