CTM for pillar blocks doesn't work correctly when they are place sideways (horizontal).
Here's a cut down version of my pack (John Smith Legacy) with all the logs and stems.
For example: Oak Logs.
matchBlocks=minecraft:oak_log
method=ctm
tiles=0-46
connect=block
faces=top bottom
Minecraft 1.16.2 and connected-block-textures-0.1.2+1.16

John Smith Legacy LOG TEST.zip
Also my current test world (JimStoneCraft Presentation Map) may be of help as it's got all the blocks laid out.
https://www.johnsmithlegacy.co.uk/jimstonecraft.php
CTM for pillar blocks doesn't work correctly when they are place sideways (horizontal).
Here's a cut down version of my pack (John Smith Legacy) with all the logs and stems.
For example: Oak Logs.
matchBlocks=minecraft:oak_log
method=ctm
tiles=0-46
connect=block
faces=top bottom
Minecraft 1.16.2 and connected-block-textures-0.1.2+1.16
John Smith Legacy LOG TEST.zip
Also my current test world (JimStoneCraft Presentation Map) may be of help as it's got all the blocks laid out.
https://www.johnsmithlegacy.co.uk/jimstonecraft.php