Truer words were never spoken in this context. I had much rather shave with a "dull, but shaves" razor and high quality soap, than with a "scary sharp honemiester[sic!] edge" and some pedestrian soap.
Yes, soap makes much more of a difference than edge, if your lather is right.
Another simple experiment Ive tried.
Use a razor that shaves well, dont strop it and use a runny or dry lather. The resulting shave was no where near as good. Next day back to proper stropping and a good lather. Hey presto! Back to a great shave.