Form fields are not guaranteed to survive as usable forms
An interactive PDF form stores its values in document-wide field structures rather than entirely in page content. When pages are copied into a new document, those structures may not remain available or may not behave as they did in the source.
Do not rely on this merge to preserve a fillable form. If the visible completed values are what you need to share, flatten the form first in software you trust: that paints the current appearance into the page, but it does not sign the page or make it tamper-proof.
If you need an editable combined form, use dedicated form-authoring software and test the resulting fields before distribution.