"PSoC Creator helps you to set up your PSoC 5LP device for tracing, but does not include support for capturing and analyzing the data. To use the tracing features, you must export your PSoC Creator project to one of the following third-party IDEs:"
(Keil MDK, IAR EW).
So, it looks like the answer is: NO WAY! Not even a single channel.
"I was successfully able to see the message steam in Debug (printf) Viewer window of the uVision IDE. Although I haven't used the MiniProg3 here, thought of sharing this info, if you are interested to try."
"The accompanying firmware for the PSoC3 and PSoC5LP can be found here: https://github.com/kyoung2112/psoc_creator_swv_firmware"
So, although MiniProg3 has SWV capability mentioned in docs, apparently some custom firmware and components are needed to let SWO pass. This is far below expectations - Cypress needs to work on debug comm opts, because for now it seems UART is the only viable one. For kits like mine CY8CKIT-059 with KitProg1 it's the ONLY opt with highest baud rate of only 115200.
But your response was helpful