Stainless is a favorite of back yard mechanics. The outstanding feature of stainless is rust resistance. So, are you going to be operating your rifle in salt water?
For barrels, stainless is fine. Seems to clean up faster, and I don't know why. Both stainless and chrome moly barrels are very soft, and it turns out there is no measurable difference in barrel life between the two.
If you are going to replace barrels, stainless barrels do not require a $75.00 blue job. So the total cost of installing a stainless barrel versus a chrome moly is almost a wash. Since stainless cleans up quick, I have been choosing stainless for my match barrels.
But for actions. I found out the hard way that stainless on stainless may not be a great idea. The lugs on my stainless M70 classic gall. Maybe there was a surface coating, but that got removed when the gunsmith trued the lugs.
For a receiver I want deep surface hardness, strength, and wear resistance. I don't need corrosion resistance and I don't want galling.
I was told by a metals expert that stainless steels are shallow hardening compared to chrome moly. I have not checked on the strength of stainless, and I don't know the heat treat they use, but 4140 is an excellent receiver steel. And on my replacement M70 classic, I got a chrome moly receiver.