I seem to recall that the 153 attached to the 0813 BRI» to SWI» then works up to Gloucester where it is detached and sits until needed later in the day (presumably working down to the Bristol area to provide extra capacity in the evening peak?).
If detached at SWI, it could provide at least two if not three return trips on the Transwilts before making its way back to Bristol by mid/late afternoon. In combination with your suggestion to provide an early evening extra service in each direction, it would provide a "near hourly" service through the day.
That's a good thought, John. The 153 is stabled as an emergency train at Gloucester for the day in case of train failure in that neck of the woods, and past requests to have it used on the TransWilts were denied. However, I don't know of the relative weight given to the reasons - i.e. "necessary standby" v "wouldn't serve peak" v "looking for better solution for you" so it's worth asking again - bringing it on stage to ask.
You mention detaching it at SWI. In the past, we've looked at the prospect of getting a late peak TransWilts service into Swindon by running that train from BRI to SWI via Trowbridge or Westbury. As it sits for 50 minutes in Swindon, it would have time to do that. However, there's good traffic on it into Chippenham and Swindon and people aren't going to want to drop back the few minutes onto the
HST▸ (6 minutes later into SWI) nor change on Keynsham to Chippenham journeys.
If the 153 were detached at Bristol and then ran (in service or even empty) to Westbury / Trowbridge, it could form a train that left Trowbridge at 09:15 for Swindon, filling the 07:38 to 09:54 gap somewhat. It would be able to get to the Westbury / Trowbridge area in very good time to do this, but couldn't get the single line up to Chippenham until the 08:36 from Swindon (I'm an optimist) got there. The ideal time for an extra service from Trowbridge up to Swindon would be around 08:30, going up before the 08:36 from Swindon, but there's no way that it would be there in time.
I'm not going for anything exotic like taking it off at Filton Abbey Wood and running it via the Rhubarb Loop and a re-instated Bradford North Curve. ((Rhubarb loop alone would get it to TRO» just in time; no recovery allowance and a pack of cards waiting to fall)). We would then have calls from the people of Bradford-on-Avon for a direct evening peak train from Chippenham to get them home, and calls from Melksham residents for direct Bath and Filton Abbey Wood trains at the other ends of the day - more potential markets ...