Not necessarily. If two out of three utilities say it's okay, I'd be inclined to believe them (and those specifically are pretty good diagnostics/testing tools). I'd still backup the data regularly, this is the best way to avoid the headaches of data loss. Unfortunately, mechanical drives often fail unexpectedly.
However, I'd recommend keeping an eye on the SMART data every once in awhile though, making sure everything is okay.
You can still post the screenshots of those utilities if you want to.
PS: Just saw what @ex_bubblehead mentioned, he is right! Wouldn't hurt to try with a different SATA cable.
Hope we were helpful!
SuperSoph_WD