This is extremely easy to check. It depends on the schema.

If your tables have very heterogeneous column names, like 1 column will identify any table on average. There will be some duplicates but the median columns will be one or two, but generally you can even complete those after a few characters.

If your database has very homogenous column names you don't need to identify a single table for autocomplete to be very precise, unless there is no correlation between column name co occurence within tables. However if there is no correlation you are back to very low number of columns to identify the table.