Yes, it is a pastoral decision.
There are some relative canons for instance-
2ƒ the other party is to be informed in good time of these promises to be made by the catholic party, so that it is certain
that he or she is truly aware of the promise and of the obligation of the catholic party
and
ß2 The local Ordinary is not to give permission to assist at the marriage of a person who has notoriously rejected the Catholic faith unless, with the appropriate adjustments, the norms of can. 1125 have been observed.
Those two parts aren’t part of the same canon. I believe the one directly above refers to someone who was baptized Catholic and has rejected the faith.
If a priest thinks that the Catholic will have difficulty living according to the Catholic faith and keeping his/her promises then he might recommend against marriage.
That’s true.
So pretty much that discussion takes place where the priest must ask if the non Catholic intends to interfere or not.
But that puts the responsibility on the shoulders of the non-Catholic & makes him/her the heavy. The responsibility belongs to the Catholic to live his faith.