This relates to a very old DBMS product, similar to Oracle but not Oracle itself. This product made it very easy to create a table with no indexes. Oracle is different in that, if you declare a primary key, Oracle will automatically create an index on the primary key. This product didn't do that.
I was called in to speed up a database that was crawling. There was a table called "CostCenters" with 900 rows in it and no indexes. A couple of years earlier, that table had had 20 rows in it. Referential integrity lookups on this table were requiring a table scan. The system was on its knees.
Creating the index took five minutes. It speeded things up by a factor of 100. We did some other things, like defragmenting the disks, and rebuilding some indexes that had become overpopulated. A task that had been taking 10 minutes before the speedup took two seconds after the speedup.
Having said this, don't let concerns about speed blind you to simple and sound design. You need simple and sound tables, indexes, database objects, application code, and queries. It's easy to speed up things that are simple and sound. It's much harder to take things designed only for speed and make them simple and sound.