I think so the wood will brake before the glue joint brakes.
Titebond II by itself does not stain. Staining allows for penetration of color into a wood matrix giving a 3 dimensional appearance. Stain will coat the surface of Titebond II and all other wood glues, painting the surface with color and will not give the 3D effect needed to accurately match the surrounding wood. Adding sawdust or wood sanding powder 80-90% wood fiber to 10-20% glue) will allow stain to penetrate the glue, but will give a stain appearance similar to staining end grain (darker shade). In most cases, this is acceptable, but on larger areas, a wood filler is better used with the technique of coloring with a color matched marker and drawing in grain pattern to match the surrounding wood.
This is a good solution because it's weatherproof. But it won't make a tight seal because of the rough surface so it won't bear much stress without separating.
It should work. Be sure to add plenty of clamps or weights until the bond is complete.
It depends on the fabric. If it's like a cotton shirt to a piece of wood, then yes. If it's a more non-porous (like a metal) item to wood, then no. If you are unsuccessful getting this to work for you, you can usually get it done with epoxy.
Thinning this particular type of glue will weaken the bond, I leaned this the hard way. I hope this helps.
Way more than i needed, built an entire work shop table 15 ft by 10ft 3 ft deep