This is purely conjecture going only on what you've said.
The gear on the A380 is split with part of it being done by the green system, and part by the yellow. If either system plays up, you need to do an alternate extension. Doing that early makes a lot of sense, as it takes a couple of minutes, and once it's done, is out of the way. Popping the gear out on descent will give you a lot of drag (especially as the doors won't close again), so unless you feel like offsetting it with a lot of power, you may as well fly a steeper than normal descent profile. The requirement for the tow would indicate that it was the green system. You still have nose gear steering for the landing, but the EHBA will overheat if you try to taxi too far. Braking is unaffected...there are backups to backups to backups on that system, and it's split in multiple ways.
Interestingly, even total loss of hydraulics has no effect on the aircraft flight controls, as they have self contained electro hydraulic backups, all of which are independent.