Yes. Were I playing from the MuseScore version, I would execute it the same way I would were I given the original.
In the original, it's understood that the lowest notes are in bass clef, but the parenthetical "courtesy clef" offers a visual reminder. However, since it is nevertheless a change in clef, the "courtesy" treble clef clarifies the return to that clef.
In the MuseScore version, the "warning" clef at the end of the first system serves the same purpose as the "courtesy" clef in the original, but the "real" treble clef becomes necessary to make clear the return to a treble staff.
The MuseScore version requires that the key signature be given relative to bass clef, but for most readers, they'll just see that there are five sharps, and the change in placement won't matter. Since the key signature is already established at this point, the change in placement isn't a big deal.