Hello Donald, and welcome to the forum.
The first thought is the 12V heating element could have failed. with the obvious consequence you have had, but its not a foregone conclusion as there are several other factors that can affect the function of the fridge.So the thing to do is if feel confident enough to try, is to measure the dc resistance of the 12V coil It should have a value of around 1.2 to 1.5Ohms. much more or open circuit then it points to a failed element.
Your fridge is now 24 years old and even though the system is usually very well sealed, there can be regenerant losses over time. Certainly the cocktail of fluids the use inside the coils can deteriorate and along with other environmental factors the fridge will loose efficiency over time. ,
The absorption method of cooling is great for caravans as its virtually silent, but it's not as efficient as a compressor driven fridge like the ones you have at home. Absorption fridges can usually manage to drop the inside of the fridge by between 20 to 30C but they are also more sensitive to ambient temperatures which will make them loose efficiency as the temperature differences of the heat exchanger coils to the ambient air reduces.
Another factor that will apply when towing, is the force of the wind that can get in through the fridge vents will increase the airflow around the fridge and if the air is warm it will increase the work the fridge has to do to keep things cold.
When travelling, the increased air flow around the heating element may rob some of its efficiency as will increased air flow around the walls of the fridge which fridge may also increase the heat input through the walls from the warmer air.
Don't forget the fridge is a gas burning appliance and for your own safety and that of your family, etc, the appliance should only be installed serviced or removed by a person who is fully competent with LPG gas fitting and testing.