not just the size, but what you do with it
Several years back there was an excellent article in the German publication "Stiftung Warentest" on this subject. The authors, drawing upon research conducted on hundreds of machines over many decades came to the conclusion that it was not enough to simply "go fast". One range of AEGs from the late 70's early 80's for instance "only" spun at 850rpm, yet achieved better water extraction then their Miele competitors spinning at - for those days the enormous speed of - 1000+ rpm.
The AEGs had a better thought out spin cycle which, although mechanical, resulted in better extraction.
I use a 2,800rpm "schleuder" on clothes which land in the dryer. Some of my shirts are over 15 years old, I only wear natural fibers so know a bit about creasing and ironing. As long as I don't overload and shake everything out properly (and immeadiately) after spinning, there has never been either damage or bad wrinkling/twisting.
Side note: American washers vary in their quality and the set-up of their spin cycles tremendously. After the end of the golden era, it wasn't until very recently that effective extraction became a selling point again. As for the "quality", well - my recent trip to the 'States included 3 washer repairs. The best built and most reliable was an A108 from the late 70's....