Believe me,,, all the teams in Serie A from #1 to #6 will fight for this to the last.
That is the thing about the big clubs, when they go down, when they are not as good as they used to be, everyone attacks them together and you have to fight everyone. When ATM won for example last year, teams did not have a hatred towards it, I am sure that anyone who is a fan of any team outside of Real and Barcelona, cheered for them to win, or at least did not mind it.
But, when Barcelona or Real wins it, they hate them for it because they already got so much. Same goes PSG, and nowadays City for the past years, and Bayern and so forth. When Lille won last year, everyone was shocked and if you asked anyone outside of Paris, they would be happy about it too.
All neutrals want the non-favorites to win, that is almost universal with sports as we identify with the one expected to lose, but we were talking about something else entirely I guess, which is about outsider teams fighting for #1, whether or not they have given up or whether or not they are not thinking about it.
And I cannot see any team in any big sport who thinks "let us go for #2 or #4". Everybody wants it. And if you try hard enough and are lucky to see big teams lose points, you can win the day. Just look at Lille and Leicester.