ASI is highly configurable, both for the client/player side and the server/world side
ASI comes with several pre-configured "hold points" you may choose to put players you pickup on your character. This is one of the options available in the client config.
For example:
Left or right shoulder
Left or right pocket
On your head, like a hat
Options that you can choose, as a player, that apply to every world and server you join
Guide on how to make changes to your client config
All features of ASI can be disabled for worlds that you dont want them in. The very ability to pick up tiny players and animals can be disabled for the world. This is one of the options available in the server config.
Options that you can choose, as a host, that apply to every player that joins your world/server
Guide on how to make changes to your server config