Without dot and dabbing plasterboard over the existing walls to conceal the trunking and flush fit the sockets, chasing and re-sealing is you’re only other option.
Did you have any say in how the wiring would appear? If there’s a statement of works and it states that all wiring is to be concealed, it will need to be rectified as per contract.
All pretty substandard work by the sounds of it, mostly from lack of communication from all parties.
BTW, I’ve used Vandex and Heydi systems. No big differences really, only working times..
As for Sovereign recommending a sump and pump for basement use, that may be as back up for condensation due to lack of ventilation. Tanking acts as ground source water prevention, but whilst stopping moisture from coming into a property, it increases condensation issues.