Is semantics psychological

“The means of semantical statements is no more a psychological word than is the ought of ethical statements or the must of modal statements."

I think of this in the following way: the \(\square\) operator can be applied to statements to make them ‘modal’ (which could be alethic, deontic, or many other things like “Jones thinks that ..."). One such \(\square\) is “Semantically, ...” (or, “Literally, ...”). Ordinary statements made in practical life could be interpreted as having an implicit “Pragmatically, ...” (in fact, could we define pragmatics to be that which play this role?)