Consistency of the internal forcing schema IFS

Let $IFS$ be the axiom schema asserting that for every weakly absolutely definable set $X$ and every partial order $P$ definable in $L(X)$, if

$$\big|\big|X^{V[G]}=X^{V}\big|\big|^{(r.o.P)^V}=1,$$

then there is an $L(X)$-generic subset $G$ of $P$. A universe has a gap when these hypotheses hold but no such generic subset exists; $IFS$ asserts that there are no gaps. Consistency conjecture. $ZFC+IFS$ is consistent. This is a consistency claim for the proposed internal forcing schema, motivated by the idea that gaps in the existence of generics should not occur. The supplied text does not provide a relative consistency proof or a refutation.