u-blox has a new firmware with some improvements for the ZED-F9P ready, see e.g. https://www.u-blox.com/sites/default/files/ZED-F9P_FW100-HPG110_RN_%28UBX-18070245%29.pdf
Will the simpleRTK2B be delivered with the new firmware? If not where/how can I get the new firmware image to update the module by myself?
U-blox has finally released publicly the firmware version.
You can download it directly from their site: https://www.u-blox.com/en/product/zed-f9p-module#tab-documentation-resources in the Firmware Update section.
The current requirement is for users to request this directly from uBlox support, if you have a registered project with them, that would be your FAE.
It is not posted publicly. They will discussing this internally next week when more of the RTK team are back in the office.