I use to leave my table in place when I was towing but then noticed that the plastic strip that attaches the table to the van wall was becoming loose. I retightened them with a drop of wood glue to reduce the movement of the screws and rail. The table must obviously be jumping up and down on its peg leg and loosening the screws.
I now travel with the table on the floor on a rug, both bed poles are in place with bulky light tems such as the waste water container etc on top of the table and in between the poles to stop things moving around.

Can't say that I've noticed the plastic strip becoming loose - maybe I should take another look lol - but yes, like you, we too travel with the table in place. The van is as per signature below with the table located at the front and despite what the manual states, there is no bracket or anything else to secure the table alongside the wardrobe next to the bed.

In situ of course, no problems seen

Ours was always stowed in the provided (on our Eriba) location, and a carpet tile placed between it and the side of the wardrobe to prevent movement

Front table in its normal place and big rear table in the garage as I now leave the bed set up.

We always put table on floor. I imagine left up it must bounce around like billy-oh

I originally used the storage area designed for the table in my Triton 430, but on the first trip the push studs let go and the table landed on the floor. Fortunately no damage. Now goes on the floor top surface down with matress toppers and bedding on top.