jandavid Said:
"Review Large Attachments:[ ...]But I couldn't find any way to access my iMessages. I'm hoping to delete attachments from iMessages[...]"
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Thank you for clarifying.
This is not an Option:
What you are looking to perform is not an option. To get a record, scroll down while screen record. See what occurs. Go here: Record the Screen on your iPhone, iPad, or iPod touch - Apple Support
Provide Apple Feedback:
Do your Part: You can recommend to Apple that they make this a feature of FaceTime. Apple won't get back to you directly, but the more feedback they receive on this, the more they will know what their customers prefer, and what changes to make in versions to come..
- Go Here: Feedback - Messages - Apple
- Select: "Feature Request" for the "Feedback Type"
- Select: "[your location or region]" for "What country or region are you in?"
- Comment: that you want this to be an option
- Proceed from there as necessary