It seems to imply that intellectual assent alone is sufficient for salvation.
Defining faith as intellectual assent alone would be where the Roman Catholic apologist is attacking a straw man, either purposefully or in ignorance. When you read the Reformers’ own writings I think you will find that they do not imply that faith is defined by intellectual assent alone.
When you read the Augsburg Confession’s article on Justification for example:
“Also they teach that men cannot be justified before God by their own strength, merits, or works, but are freely justified for Christ’s sake, through faith, when they believe that they are received into favor, and that their sins are forgiven for Christ’s sake, who, by his death, has made satisfaction for our sins. This faith God imputes for righteousness in his sight (Romans 3 and 4).”
As you can see here, the Reformers are not advocating for an intellectual knowledge only but a fearful trust in Christ, that apart from him, we cannot of our own strength be counted as righteous before God. Knowing that Christ died for our sins, and putting our trust solely in his hands as he has promised are two different things.
The Reformers however did not believe this was a justification for licentiousness as is often alleged.
“Also they teach that this faith is bound to bring forth good fruits, and that it is necessary to do good works commanded by God, because of God’s will, but that we should not rely on those works to merit justification before God. For remission of sins and justification is apprehended by faith, as also the voice of Christ attests: When ye shall have done all these things, say: We are unprofitable servants. The same is also taught by the Fathers. For Ambrose says: It is ordained of God that he who believes in Christ is saved, freely receiving remission of sins, without works, by faith alone.”
So while we agree that works are necessary for one to live out his vocation in the Christian life, we do not conflate sanctification with justification before God. We also don’t ascribe justification to our effort.