My experience is different, I goofed up, had a senior moment and drilled the touch hole pilot hole for my Haines rifle in one side and out the other side of my barrel, I asked the good folk here what I should do. The late Zonie was really up on thread sizes and strength and told me I could tap the hole to 11/32, install a screw and have a patch that would be 10 times as strong as any load I could possibly shoot in the rifle.
I enlarged the hole to the tap size for an 11/32 screw, threaded it and installed a grade 8 screw with red locktite. Of course, I pulled the breechplug to get my screw depth just right and not be in the bore. I did cut a slight countersink on the outside and peened the cut off screw in a little for a seamless fit, next, I draw filed the screw flush on the outside and browned the barrel, the screw is invisible unless you pull the breech plug or look down the barrel with a Teslong.
My barrel weight is a C weight so there is a lot of metal thickness in the breech end. My thinking is if TC could do the same safely I could as well.
I don't see any problem with filling the hole on a TC as long as you don't screw the screw in so far as to be in the flash channel. Some people like to solder these types of screw patches into place but I didn't feel the need.
The problem lies in why is the screw missing, I would want to look at the rifle in person or have a very clear picture of the screw hole where the screw is missing to see if some jake leg drilled it out. Some of the things home tinkerers do to their rifles is an abomination.