I did benchmark extensively 4-5 years ago, but I don't have those numbers with me. Tries are quite expensive memory-wise by design, but I found that ART gave the best balance between speed (by exploiting cache locality) and memory. State of art might have improved by now.
As far as Typesense goes though, I found that the actual posting lists, document listings, and other faceting/sorting related indexing data structures is where the bigger overhead is, especially for larger datasets.