So for now I've decided to remove the Last.fm app from my Mac.
The removal of the app also coincided with the "radical reorganisation" of my Mac, a.k.a. "tidying up". I've been removing applications and files that has little or no use from my Mac and reorganising the files into neat folders. After a few considerations, I included Last.fm app in the "little or no use" category, although I really feel sorry for doing so; scrobbling has been an integral part of my life! Listening to music doesn't count when it isn't scrobbled, right? (I read that somewhere)
That entails the fact that no further tracks will be scrobbled in my profile from now on… from the official Last.fm official client. I'm still using Bowtie for the sake of the desktop "bowlet" (that displays the currently playing track) and it is also capable of scrobbling. Perhaps my scrobbles will come from that app in the future. Also perhaps I'll be scrobbling from Windows, too.
Maybe from now on I might enjoy music the way music is meant to be enjoyed, not for the sake of scrobbles!
I will still be using the Last.fm website, though.