I'm not anxious to drag a fine name (Keuffel and Esser) into the mud, but the plastic slide rule I bought at the Princeton U. Store in 1954 had inaccurate graduations! Some that should have lined up precisely didn't, even to a naked eye. It was of the Log-Log Duplex Decitrig variety.
I also remember that dropping a Pickett & Eckel on its end was a bad idea. The Al alloy was somewhat malleable, and iirc I mushroomed the end of the slide once, although not too badly. As well, indeed, you did need to tend to its lubrication regularly. I suspect that modern synthetic greases might not need such frequent cleaning and replacement.
Having been in the Pacific Fleet, I once owned at least one Hemmi bamboo slide rule; they were quite the equal of any others in quality.
As to exotic scales, one that I once owned (Hemmi?)had a Gudermannian (G?) scale; have long since forgotten what it was for. My father, an M.E. and scholar, was fascinated.
Indeed, I did use a slide rule to search for fractional equivalents with few digits, but only for fun. Reminds me that everybody should know about 355/113, a remarkably-good approximation to [pi]. Write down 11 33 55, and regroup. You can take it from there. No other rational approximation with fewer than six digits in the numerator is as good. The next better one is 104348/33215, very likely.