Gavi was showing a decent performance before getting injured. So his absence would be felt of course. By the way I have read interesting news about him recently. It was saying that FIFA were going to pay Barcelona 20k euros per day during Gavi's injury. Is this really true? If it is then I must admit that I'm hearing about such thing for the first time in my life.

It's nothing new anymore for FIFA to treat Barcelona is a special team, many matches in the past the referees were supporting Barcelona by not make a fair judgement, the decision is always pro to Barcelona. Not to mention robbery of Ballon d'Ors.
So it's not surprising for FIFA to help Barcelona in terms financial.
In the past, I also thought that Barcelona was Fifa's golden child, but now that is no longer the case and regarding Gavi, Fifa must be responsible for the team.
The injury that Gavi suffered was quite detrimental for the player and the team. At his young age, Gavi had to suffer a fairly serious and long-term injury, this will disrupt his future.
Meanwhile, for the Barcelona team, which is currently in great difficulty and also lacks players, of course this is quite a loss, and Xavi, the Barcelona coach, must work even harder in arranging tactics with the available players so that the team's performance is maintained.