Romsey is reasonably connected, as long as you accept that the connection is mostly your own car. About half the working population drives to work, and more than a third now avoid the question entirely by working from home. The town does have its own railway station, which is more than plenty of places this size can claim. Yet barely one percent of residents actually commute by train, which tells you everything about how the two facts sit together. The infrastructure is here; the habit is not.
On rail, Romsey Rail Station puts you on the network without a drive, and Mottisfont and Dunbridge and Chandler's Ford are within reach for anyone with a different line in mind. The trains will carry you toward the bigger cities and, with a change, further afield, so the option is genuinely there for the days you would rather not sit in traffic. It is simply that most people here treat the station as a backup rather than a routine, the transport equivalent of the good china. Buses fill in around the edges, with somewhere in the region of a hundred stops scattered across the town and its villages, though bus commuting is about as rare as the train, running to roughly one in a hundred workers. The network exists to be used lightly, not leaned on.
Where Romsey does connect properly is down the wire. Gigabit-capable broadband reaches about eight in ten homes and the faster standard broadband covers very nearly all of them, so the town that will not take the train is at least well equipped to skip the journey altogether. For the large share of people working from spare rooms and converted garages, that matters more than any timetable.
In practice, life here is built around the car and the driveway rather than the platform and the ticket machine. A typical commute means the road to Southampton or one of the nearby towns, the train kept in reserve for the trips into the bigger cities, and the broadband doing the heavy lifting the rest of the week. It works well enough, provided you are not trying to run a daily rail commute out of a town that has quietly decided it prefers to drive.
The verdict is that Romsey is middling on connectivity: a station most residents ignore, buses that tick over, and broadband that carries the modern load with room to spare. Good enough for the life the town actually leads, short of impressive for anyone who wants to leave the car at home.