I made my early quilts with Coats and Clark and they have survived decades of washing. I would not worry.
For me, it is now a matter of what my machine likes and the ONLY thread she balks at is Coats and Clark. I buy Connecting Threads thread and like it - even if it is a bit linty. The key is more in the construction than the thread. As long as you use quality thread (not something that's been in grandma's basement for 40 years) you will be fine.
If the thread breaks after the quilting is done tells me that the stitches were too small. Lengthening the stitch length (I generally use 3 mm) allows the thread to work through all 3 layers.