People with strong passwords might remain safe, but not necessarily. A bruteforce is much more worthwhile when you're trying to crack thousands of passwords at a time. If there's no salting and the hash algorithm is widely used, you may not even need to worry about getting exactly the original rather than something which happens to collide with it.
Obviously hashing is still better than no hashing, especially since there will be cases where only a few passwords are leaked. But if a database containing passwords is stolen, it may be reasonable to assume all those passwords are compromised, even if they were hashed.