The constant is always there and must be assigned a value to get an answer. DeSitter's is an initial value problem, not a boundary value problem. Einstein was an honest scientist, he doesn't stick philosophical value in his eqs. Not even his QM calcs and models.
According to populist accounts, though, he sure mouthed off about it a lot, e.g. the famous
"God does not play dice with the Universe."
Of course, no one then went on to ask whether God ever loaded the dice, or kept a spare set, or...
Cheers!