I would not expect anyone to meet facetime if that is not what they wish. Metas do not have to be BFFs.
But I think a simple swap of names and numbers can be done over email or phone without it being a big hassle. Since it is SO easy to do there really is no rhyme or reason to me not to do it.
"Just, hey I exist in your poly network, contact me if you have questions about my being on the level. My latest lab copy in attachment. Plz send yours. Thanks."
So a hesitation to just get it done would be a red flag. What are you hiding? Why is this a big deal?