Please leave those Best if kept off the board '60s album covers off all of your responses!

Tramadol is chemically unrelated to opioids, and anything else for that matter, so the answer to your question is no, it would not show up.
It is an agonist at the mu opioid receptor. Actually, when you take tramadol you are taking two forms of the drug, which are mirror images of each other - they have the same bonds and same chemical structure, but they stick out differently into space. One of these forms, or enantiomers, binds the mu opioid receptor, giving it some painkilling properties. It is metabolized by the body - the primary metabolite actually binds the receptor 600-6000 times better than tramadol itself (the actual increase in affinity depends on the assay!).
This enantiomer also blocks the uptake of some neurotransmitters. The other enantiomer doesn't bind opiate receptors, but also blocks the uptake of neurotransmitters. This may or may not have painkilling properties on its own. It likely does.
Taking the therapeutic dose of tramadol, from 50-100mg, yields little euphoria. Taking a little more can enhance the potential for euphoria, but taking too much will block neurotransmitter uptake to such an extent that it will make you feel very bad. It's not in danger of being scheduled.
I realize this is off-topic, but if you're interested in tramadol, you might want to know these things.