Move to iOS app does not transfer my sent messages from android to new iPhone

I have a text message thread between myself and my husband on my android (Samsung Galaxy S7) that goes all the way back to the day we met. I got a new iPhone (first timer) and have tried at least 5 times to get ALL my messages (both sent and received) to my new iPhone. So far, it does _not_ show my sent messages after the transfer. Received messages go through as well as my sent messages if they are in a group message (MMS). As far as the messages that I typed and sent, a few randomly squeaked through dispersed amongst different conversations.

The phones are always plugged in, right next to each other, and my android is on the network that the iPhone creates. I've tried putting my Android in airplane mode, and not putting it in airplane mode- during the transfer. Still no sent text messages of mine show up in iMessage. I've put my SIM card in AFTER the transfer and restarted my iPhone... still nothing.

It always stops at 49%, every time. This does not seem to be a space issue- after the iPhone still has plenty of space left. I also deleted all of my unimportant or unwanted text messages beforehand to make room. I didn't opt to transfer my photos either, just in case it was a storage issue.

I know this sounds cheesy, but this has literally stopped me from using my new iPhone- I just want my sent messages to show up :(

I'm wondering if there is something I should be doing on my Android beforehand (perhaps in my settings)? Anything at all? I'm at a loss and welcome tips or shared experiences.