From what vantage point are you observing this?
I want to be 100% clear: I have ZERO respect for RNs who, even when they find themselves with a bit of downtime (increasingly RARE), do everything they can to avoid these tasks simply because (they say) "it's the CNAs' job." There are some who believe it is beneath them. It is certainly not beneath any RN to provide care of any type to a patient.
That said, as we all know, there are many other aspects of care that an RN must do. It is a sort of "hard to hear" truth that the RN is able to do all CNA tasks, but the CNA is not able to do all RN tasks. Therefore, there WILL come a time when every RN has to delegate X task (that can be done by RN or CNA) so that s/he can perform other aspects of patient care that only an RN can do. My observation and experience has been that, due to a variety of factors, RNs are being increasingly pulled away from many aspects of hands-on care. In my department, CNAs can not triage a patient, complete medication/allergy profiles, document PMH/PSH, assess for suicide risk, smoking, other safety factors (which we are required to document), start IVs, administer medications, perform ECGs, discharge patients, perform any type of assessments (to name just a few of an ED RN's tasks). We are putting people through as quickly as possible (and yep, this is a measured stat: "throughput time"), which means we do all of this ^ multiple times per shift. CNAs do SO much, and don't get enough credit for what they do, and at the same time, there is so much that they are not able to do (just a simple fact, not a judgment or matter of opinion).
My personal rule with regard to the question you pose has been to always do something myself if there was ANY way that I could, since I have always been aware of the fact that the CNAs/techs are trying to help so many nurses and patients, and I appreciate their help very much. My efforts to never abuse them have created a situation where they are usually happy to help if I need to ask them. I've tried to request their help as sparingly as possible. It's getting very difficult to continue on with my usual MO, though.
With regard to your last paragraph, whoever said that was kind of hitting below the belt in my very humble opinion. If I didn't know better I could only guess it came out of the mouth of someone who is in a position to perch far from reality and toss these sorts of guilt-trips in the nurses' direction. As patient, NO, I would not "feel small" so long as care was provided in a timely and compassionate manner by anyone available to do so.