The answer to both is no. They both do a similar job, but not in the same way. Digital satellite & Digital cable use different frequency bands & technology. Cable TV in the UK is a closed system with no free channels, so unless you are a Virgin customer with an active account the cable TV box wont work at all, even connected to (the correct) cable.
Virgin kit is rented & remains their property.
Cable customer since 1993. Services: FH TV, Sky Sports & Movies (2xV+), Talk Unlim Telco, VIVID 100, Virgin PAYG Mobile