Full Idea
One can make sense of necessary versus contingent necessities in a non-S5 modal semantics.
Gist of Idea
Non-S5 can talk of contingent or necessary necessities
Source
Robert C. Stalnaker (Mere Possibilities [2012], 4.3 n17)
Book Reference
Stalnaker,Robert C.: 'Mere Possibilities' [Princeton 2012], p.112
A Reaction
In S5 □φ → □□φ, so all necessities are necessary. Does it make any sense to say 'I suppose this might have been necessarily true'?