Conduction Panels interact extremely inconsistently with bridges

Conduction panels behave very strangely with bridges (gas bridge, wire bridges, automation bridges, and conveyor bridges).

If you build a conduction panel then build a bridge on the panel, it will conduct heat.  But if you build a bridge then build then build a panel on the bridge, it will not conduct heat.

Additionally, if you save and load, the bridges are all non-conductive with the panel even if they were before except for automation bridges, which only conduct if the conduction panel is on one of the automation ports.

The rules here are very strange and I can't imagine they are intended.

Personally, I think it would be best if conduction panels worked with all bridges because it's not that powerful of a thing to exploit and quite fun to use conduction panels with bridges.

Here's a video of me setting it up and showing you what's wrong:

This bug has gotten me in the past, as it might look like it's working, then it inexplicably (from a logical physical sense) stops working and breaks.