My principal doubt is, if Girona after this international break is gonna still being this good, or they are gonna start to fall behind, maybe they can last until the winter break, and become the winter champions

i remember the alst team becoming winter champion asides of the big threes was Real Sociedad a lot of time ago.
I think some people would have the same doubts as you, including myself. Not to underestimate them, but from our experience in La Liga, that teams that can surprise at the beginning of the season they will not be able to maintain until the end of the season, and that always happens, and maybe we can see from the past few seasons that there are always teams that can provide a surprise but at the end of the season it is still the 3 teams that are in the top 3, Real Madrid, Barcelona and Atletico Madrid. This may also be felt by other teams, one of which is Girona who are now at the top of the table.
In the previous season they also made a surprise if I not wrong they could be in the top fourt, but in the middle of the season they couldn't be consistent. Also Girona which are never won the title of La Liga, more strengthens our doubts. Although their achievement in making goals is higher than other teams so far this season, but conceding of their goals it could be another consideration that they may not will be able to maintain their consistency.