The times are different though. Plus the time when there tends to be the most traffic is when train fairs can be so ludicrous that it was not unreasonable for a group of 4 to consider chartering a helicopter from Bath to London instead.
You aren't lying. I recently visited London and did a day-trip by train to Oxford. I booked my ticket way ahead for 12 Pounds each way. If I had waited and bought a ticket at the station on the day of travel, it would have been closer to 80 Pounds each way IIRC. There was a bus option as well but I wasn't aware of it until I was already in Oxford. Bus was 13 Pounds each way.