When I asked earlier, it was not possible to send HTTPS payloads greater than 2K due to the TLS secure socket buffer size limit. I see in the most recent modem firmware release the size limit is still the same.
It seems that this wouldn't be a problem if TLS fragmentation was supported and the modem negotiated a reduced TLS fragment size.
Has TLS fragmentation with a negotiated size been investigated?
Is it possible to send an HTTPS POST request with a payload greater than 2KB?
Is it possible to receive an HTTPS POST response with a payload greater than 2KB?
Is it possible to have TLS fragmentation working with the Native TLS approach?
Here are some related tickets that remain unresolved after many months: