So ...
Make it Heat weapon? O_o
Yep, I already suggested that above but hidden in spoiler tags so not surprised if you missed…
It does sound as though WotC should rework/replace Witch Bolt, but pending that I wonder if BG3 should homebrew it to apply upcast damage on subsequent rounds (making it a bit like a single-target save-less Call Lightning) or, if they keep damage at 1d12 on subsequent rounds, making reactivation a bonus action more like Heat Metal. Though I guess either of those might make it overpowered, particularly without a save.