Why don't I have settings on Match Mode, Wildcard and etc?
The settings are available for Amasty Elastic Search only, please make sure to set Amasty Elastic Search as the search engine in Magento Admin Panel → Stores → Configuration → Amasty Extensions → Elastic Search → Connection tab.
Please note that the Match Mode, Wildcard, Autocomplete settings are located on the configuration page of Elastic Search module (Stores → Configuration → Amasty Extensions → Elastic Search).