I have been quilting for 51 years. The no Iron until the block is done is how I was brought up. As a matter of fact I was given only one pin for my sewing that is right one (1) pin. The pin works like a stiletto and a pin until the fabric has gone through the machine. The best thing is the amount of time that I save over those that press every seam.
I took a class at one of the local quilt shops and I spent a lot of time waiting for the pressing so we could go on to the next step. My blocks turned out next to perfect no ripping needed.
Cut accurately, sew accurately, and check the seam placement before sewing. Try it I thing you will like it.