If wiggling the HDMI plug (from "playing with the cables") causes the picture to come and go as the OP described, I can't possibly see how that can be a SW problem! This particular situation really sounds like a hardware problem (thermally or mechanically induced intermittency) that can only be given a HW fix!
As I have postulated in other posts, there are most likely multiple, and possibly unrelated, root causes to the "no HDMI output" problem. One or more of them could indeed be related to "incompatabilities" and/or "SW problems" as the support personnel are trying to communicate to us. They get their information from their engineering staff and I believe there is little attempt made to filter the information from the customer to try to more accurately pin down the likely real cause of a given failure. So they regurgitate the script they've been given. I don't think I can blame them for that, but it's an over simplification of a more complex problem, i.e., the whole gamut of possible causes.
The only way one could know for sure would be to have a qualified technician trouble-shoot the unit, and that might even have to be in-situ vs. on the bench! So over the phone we continue to get only partial or perhaps completely incorrect information.
As long as E* continues to support the customers having these problems with expedient swap-outs vs. hiding behind an illusive SW fix that may or may not be forthcoming and that may or may not address the real problem(s), and as long as E* is taking this seriously and really looking for long-term solutions, then I guess that's the best we can expect at this still relatively early point in the 622's product life cycle.
Sorry for the soap-boxing...