Dude, drilling through bed frame steel is no joke. That stuff is made of recycled leaf springs or something. It's as unreliably full of hard and soft as... a set of yellow butter drill bits!
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That's not bad. I bought a "swiss army like" knife in a small town in China (hmm, maybe 1M people?) at a department store. This was not a tourist spot, it was a store that ordinary people shopped at. The steel quality was shall we say, less than stellar - failed on it's first use. The cork kicked it's butt. (And this is the only reason I bought the knife!) Let's say the the metallurgy in this pseudo knife object was suspect.
I was so astounded, I brought it home as a reminder of total and utter crap... The cork screw is magnetic, but it was the softest, skinniest steel I have ever experienced. The file you see sticking out, is not hard - it is so soft that it won't file a fingernail. This is the saddest excuse for a copy of a thing that looks like a knife. Even the springs don't work right now. Lost their springiness. They sort of worked 15 years ago when I bought it. Only saving grace was I didn't spend much on it, maybe $1, but even then I was ripped off.
I have some butter drills too. Some are ok, most are not. They are soft, out of round, bent and off size. I've had some dull drilling pine. I've had some drills so far off that I couldn't tap a decent hole (they were labeled as the right size for the tap) because the hole was way over sized.
Now a days, I get my drills from respectable suppliers. I slowly built up a set of stubby drills a few at a time. Didn't reduce the cost, but spread out the cost over time. Later, I was able to buy decent jobber length drills from a member here. Buy good drills from quality manufacturers. They are worth it. They drill clean, on size holes with lower effort.
Just say no to butter drills...