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I really don't understand templates, but the templates that are included in the original version of Heroes 3 (or rather, in the official add-ons AB and SoD) are called standard because they exist for everyone who plays the official Heroes 3... everything else (WoG, TE...) is already fan-made for specific purposes.
Neither in WoG nor in TE has anyone changed or interfered with the random map generator.
Maps are generated absolutely the same way as in SoD.
We (TE players) play with the SAME templates that were in the original SoD.
Just not all of them (8mm6, 2cm4d, 2cm4d2, 2cm4d3, 4cm0d), because some of the original SoD templates are completely buggy (for example, there is no exit from the starting point!! only through dungeons and flying).
But there are also excellent "manual" templates (which are generated based on an RMG file written by hand).
For example, in a match against Heroes Community vs. heroes.by, we played on a template that they wrote themselves, called JebusCross.
After that match, many of us started playing on it. You can find a link to it in the "Friendly Resource Suggestion" thread.
It's a very cool template.
So, gentlemen, there is no such thing as "just a regular random map" and "random map based on templates."