If the frame weighs four or five pounds then you're good. Just for example my Paragon (56cm, Ishiwata 024, fairly stout) weighs 5.5 lb with headset cups and a BB installed.
Some mid-grade frames are made only partly of butted tubes, or they are made of straight chromoly that's still thinner than hi-ten. There's a spectrum!
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Genesis 49:16-17
"Well, well!" said Holmes, impatiently. "A good cyclist does not need a high road. The moor is intersected with paths and the moon is at the full."