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First of all, I didn't activate the "automatically convert tabs to spaces" option.

This happens only in 4.7.x version since it didn't get this in 4.6.2 and earlier versions.

Scenario:
When I click with my mouse to location a particular character on the screen, the mouse cursor had instead appear on the next character or even a few characters beyond the one I click on. This only happens when that line have a leading tab (a tab at the very beginning of the line).

Does anyone encounter this too?

Sorry, can't say that I experience the same thing. My file type is for C#, it uses actual tabs, tab spacing and indent are 3. I focused my efforts on the a in my third line which looks like
namespace WebConsumer

If I click after the n to just slightly less than half way across the ``a'' my cursor will be placed between the ``n'' and ``a''. Clicking halfway or further across the ``a'' will result in my cursor sitting between ``a'' and ``m''

I have lines like Both clickings yield the same results. Perhaps your mouse needs cleaning? Maybe someone has altered your mouse sensitivity? Maybe I'm just special or I didn't understand your question.