Simone,
The strain screw (adjustment screw) if loosened
then may in time work itself out a little farther
and cause misfires. But it has been done many
times, those many times including old timers like
the well-known writer Skeeter Skelton. A half turn
or one turn often does the job.
Right now, I think your facing the "unknown" has
you reluctant to remove the side plate. But if you
do, and have a schematic handy (available on
internet) you'll find the mechanism not all that
complicated.
It will also give you a chance to "wash" out the
inside with a gun scrubber and then oil a tiny
bit.
Obtaining a proper fitting screw driver to remove
the side plate screws is your only problem but
easily solved. Unless, of course, you run into a
"frozen" screw so tough to move that you face
ruining the screw head.
Earlier advice that if the gun is working fine, it
still is best to leave everything alone and just
enjoy the firearm.