Yes
The sibriex's Contamination is a special trait, that is, something listed "after a monster's challenge rating but before any actions or reactions" (MM 10). Everything listed within the Contamination trait (plants withering, difficult terrain, poison damage) is part of that trait.
Note that the trait says "A creature that succeeds on the save is immune to this sibriex's Contamination for 24 hours" rather than saying immunity is granted to the sibriex's poison. Gaining immunity to the named trait through a save means one gains immunity to every aspect of that trait - at least from that particular sibriex.
This is in contrast to other multi-part special traits, where immunity is granted to only a certain part or aspect of the trait. For example, the Gas Spore's Death Burst says (emphasis mine):
The gas spore explodes when it drops to 0 hit points. Each creature within 20 feet of it must succeed on a DC15 Constitution saving throw or [first part] take 10 (3d6) poison damage and [second part] become infected with a disease on a failed save. Creatures immune to the poisoned condition are immune to [second part] this disease.
[Description of disease] Spores invade an infected creature's system, killing the creature in a number of hours equal to 1d12 + the creature's Constitution score, unless the disease is removed. In half that time, the creature becomes poisoned for the rest of the duration. After the creature dies, it sprouts 2d4 Tiny gas spores that grow to full size in 7 days.
Here, note that a creature immune to the poisoned condition is not immune to the entire Death Burst, but just the disease portion of it. That is, a creature that was immune to the poisoned condition would still take 3d6 poison damage on a failed save, it just couldn't be infected by spores. Had the immunity clause said that 'a creature immune to the poisoned condition is immune to the Death Burst', then such a creature would not take the poison damage, either.
Because the sibriex's text says making the save grants immunity to the special trait of Contamination, it grants immunity to every aspect of that trait, including the difficult terrain.