If you want to optimize arbitrary substring matches, one option is to use the pg_tgrm module. Add an index:
CREATE INDEX table_location_name_trigrams_key ON table USING gin (location_name gin_trgm_ops); This will break "Simple Cafe" into "sim", "imp", "mpl", etc., and add an entry to the index for each trigam in each row. The query planner can then automatically use this index for substring pattern matches, including:
SELECT * FROM table WHERE location_name ILIKE '%cafe%'; This query will look up "caf" and "afe" in the index, find the intersection, fetch those rows, then check each row against your pattern. (That last check is necessary since the intersection of "caf" and "afe" matches both "simple cafe" and "unsafe scaffolding", while "%cafe%" should only match one). The index becomes more effective as the input pattern gets longer since it can exclude more rows, but it's still not as efficient as indexing whole words, so don't expect a performance improvement over to_tsvector.
Catch is, trigrams don't work at all for patterns that under three characters. That may or may not be a deal-breaker for your application.
Edit: I initially added this as a comment.
I had another thought last night when I was mostly asleep. Make a cjk_chars function that takes an input string, regexp_matches the entire CJK Unicode ranges, and returns an array of any such characters or NULL if none. Add a GIN index on cjk_chars(location_name). Then query for WHERE CASE WHEN cjk_chars('query') IS NOT NULL THEN cjk_chars(location_name) @> cjk_chars('query') AND location_name LIKE '%query%' ELSE <tsvector/trigrams> END. Ta-da, unigrams!