Webex Calling and Webex Contact Center both have call recording capabilities so I don’t understand what they lost. Running both products simultaneously also sounds expensive and complicated.
Anyway, the Local Gateway feature of Webex Calling allows a SIP SBC - such as vCUBE running in AWS - to build a trunk to other SIP-capable telephony platforms. The CUBE interoperability page even includes an example for Amazon Connect. Be aware that the current iteration of this feature does not allow transit routing through WxC-MT to the PSTN, only internal calls between the two platforms. We cannot discuss roadmap on the public forums so if that’s an issue you’ll want to ask about future plans internally.