fuel vs time
Lets not get too hung up on saving fuel. For a start, the bean counters have zeroed in on fuel because the cost is easier to identify. Its too easy to say "no extra fuel was used due to best CI practice". Possible, but more difficult to define is the hourly cost of operating the aircraft. Some might simply argue that the company published cost per hour is paramount
Not so simple. Part of the hourly cost involves APU time, ground operation, increased costs due short sector cycles, ATC and other traffic delays and more. Standard fuel use with on time or late arrival vs slightly greater consumption with early arrival might mean a great departure slot time rather than a very ho hum 2 hour turnaround. Arriving quite early might mean additional airport parking or aerobridge costs. So there is nothing very simple about cost per hour.
As captain, what can you do if your aircraft departs late and will therefore delay the next sector? Try to catch up some time? Good direct tracking (ie direct Casa Mhd V to right base 08 Orly), a little faster climb/cruise/descent, visual approach, advise company that you would like fuel (or arrive with through fuel) and other ground services more promptly as you are trying to make up some time. When turnaround progress indicates, suggest to company that an earlier slot time would be manageable.
Ongoing delays caused by avoidable late arrival of operating aircraft have a real cost, including crew duty problems, curfews and missed connection.