No - I'd say the conclusion is that you and
-hh are both wrong.
There is no
"BD signal" defined anywhere - you are trying to invent a new term that means whatever you want it to.
The video signal format from a BD player can be any of (at least)
{1080/24p, 1080p, 1080i, 720p, 480p, 480i} on any of (at least)
{DVI, DisplayPort, UDI, GVIF, HDMI, Component Y/Pb/Pr, S-Video, Composite}. Of course, not all signal formats are possible on all connectors - and only the first 5 connectors are available with HDCP to allow 1080p.
A true statment would be "no HDCP connection, no 1080p signal from the BD player".
While a quick search uncovered no standalone BD players with DVI/HDCP or DP/HDCP connections, these are fairly common on computers - you can play your BD at 1080p (with Windows) on your computer without an HDMI connection. This proves that even the claim "no HDMI connection, no 1080p BD video" is wrong.
You are making ambiguous statements using undefined terms and claiming that we should know what you meant "in context" of a thread with 3300+ replies. Wouldn't it be simpler to add a few modifiers and say precisely what you mean?
First - that's a red herring. A high bitrate BD video downconverted to 720p will look much better than a low bitrate 720p download (or typical satellite/cable signals). So, connecting a BD player to a 720p TV over HDMI has an advantage over most 720p sources (only OTA would come close).
Second, Best Buy has 56 TVs in the $250-$499 bracket - 11 of these are 1080p. They have two 1080p TVs (22" and 24") for $249. That's 13 1080p TVs under $500. In the $500-$749 bracket, 29 are 1080p and 7 are 720p (5 of the 7 are plasmas, the 2 LCD 720p TVs are $550 and $600).
It's easy to find cheap TVs with HDMI (even 1080p ones), and by the time you get to the $500 price point the number of 720p offferings rapidly dwindles.