Yes, they are reporting 5 weeks on Twitter now, but they also have this on their website:
Transcript Processing Timelines
The table below details all delivery options available to registrars, in order from fastest delivery to slowest.
Processing begins once your transcripts are delivered to AMCAS. Reference the
transcript processing tool to find the latest date your transcript will be processed based on the mode of transmission to AMCAS. Please note, you will receive an email from AMCAS when your transcript is marked "Received."
Method | Electronic Vendor | Email | Fax | Mail* |
Processing time | 15 business days | 15 business days | 15 business days | 25 business days |
*Mailed transcripts take longer to receive and process than other methods. If possible, AMCAS recommends utilizing the other delivery methods. If your registrar has questions, please contact [email protected].
I am pretty sure the 5 weeks they are quoting plus the 3 weeks referenced above is how they get to 8 weeks. People who mailed in paper transcripts are reporting 2 months, which is also pretty consistent with the time quotes above.