I definitely wouldn't say "NO" strength, just quite a bit less strength than what you achieved with silver brazing!
Get back to me with pictures and the process you used when you've duplicated what I constructed with the overflow spouts and the entire construction soft soldered 
If I did it, I'd likely use Stay-Bright 4% that is just about as easy to work with as regular soft solder, but about 4x stronger!
Or heck, maybe I'd just use JB Weld!?!? ;c)