Does it follow from abc conjecture that $\Omega(p^{2}-1)>max(\Omega((p-1)^2-1),\Omega((p+1)^2-1) $?

Question

It seems that when $ n $ is prime, the map $ f $ that maps an integer $ n $ to the number $ \Omega(n^2-1) $ of primes dividing the argument counted with multiplicity is larger than the same function evaluated in $ n-1 $ and in $ n+1 $ . Is it true? Does it follow from abc conjecture?