Regardless of whether there is any proof that Verizon plans to reduce severance to one month, the fact that IBM just did it is certainly reason to think other large corporations may follow suit, and one would be naive to think Verizon has not at least discussed the possibility.
Furthermore, any decision to do such would be a tightly guarded secret. Experienced and talented employees who managed to elude past layoffs and have been sticking it out because "at least the severance is good" may change their minds and leave before Verizon is done with them.
If the mighty IBM is cutting severance to 1 month, it is a distinct and real possibility that it can happen elsewhere, including Verizon.
Just because there is no proof does not mean it will not happen. I would be very worried.