[2020] Arcanist Brand, I know we don't have a lot of info about it but, does the triggered skill benefit from crit chance and crit multiplier the comes from brand nodes? like shaman's dominion node.

Brands are extremely dissimilar to totems, it's certainly not safe to assume any mechanical things will work the same way between the two.

Being triggered in a certain way does not change what type of skill something is. Nothing becomes a Brand skill due to being triggered this way, so modifiers which specifically apply to Brand Skills will apply to the Arcanist Brand itself (if applicable), but not to non-brand skills it triggers.

However modifiers specifically to Damge, Critical Strike Chance and Critical Strike Multiplier of Brand Skills, have all been changed to instead affect "Brand Damage" or "Brand Critical Strikes", which are new keywords defined as Damage/Critical Strike Chance of Brand Skills or any skills triggered by Brands. There will be reminder text on sources of those stats explaining that definition.

So for the damage and crit chance/multipler stats specifically, those have been changed to something which can apply to spells triggered by Arcanist Brand. Any other modifiers which still refer to Brand Skills will continue to only affect Brand Skills.

It will be compatible, but will not behave any different to any other method of triggering blade vortex.