Thank you both for the replies. I realise now I wasn't clear enough regarding my enquiry. I'll attempt to clarify my backstory:
For a few months now my V6 has intermittently fallen off the network. The box resets itself and I have to go through the process of reconnecting to the network via the on-screen settings. Sometimes this is fixed immediately, otherwise it can up to 10-15 minutes to connect - definitely not ideal. Sometimes it states that the box has not connected to the network for over a month (as shown by a rogue date of 16 February on the network connection screen).
And when the tv service finally reloads there could be a C310 error showing (unable to connect via wireless) or C233 (an issue with broadband settings).
I also have an issue with any streaming services and on demand services in the My Shows list, saying that they are temporarily unavailable - they usually start working again after 2-3 days (also not ideal). The R symbols (for single recordings and series links) have also disappeared from the programme guide.
I put up with this for a few months until five days ago when the box rebooted itself three times within an hour. I then called out an engineer. He explained that all the issues I was experiencing was as a result of a known problem for V6 boxes, currently affecting "lots of customers" - his words - which has been under investigation since December. (He said that there is another problem connected to this being that on the programme guide all shows have been replaced with "To be announced"). But no-one is yet able to identify the cause. So his advice is to (unfortunately) live with it until it is fixed.
I have since decided to upgrade to the TV360 service and my enquiry was to find out, as I am going to be upgrading my V6 box clearly affected by this wider unresolved issue, whether I could request a TV360 box instead.
UPDATE - I called the help desk and asked the same. The lady told me that I should go ahead with the Quickstart software upgrade and if I continue to receive the network errors, to call them and they'll send out a replacement TV360 box. Doesn't seem ideal but it's hopefully better than living with it until it's fixed.
If anyone reading this is affected by this awful state of affairs, my heart goes out to you. If you're not then thank your lucky stars