As you adequately state it, the period can be considered both an uncountable chunk of time (as in the example you provide) or in relation to its individual units (hours, days). That's why
I have less than 2 days/months/years.
is correct. A similar use often occurs with money.
The new model costs less than ten pounds.
Regardless, we should also ...
ACCLAMATION - noun 1 : a loud eager expression of approval, praise, or assent
2 : an overwhelming affirmative vote by cheers, shouts, or
applause rather than by ballot Merriam-Webster
Definitions of acclamation:
An acclamation, in its most common sense, is a form of election that does not use a ballot. "Acclamation" can also signify