"Consistent estimator" or "consistent estimate"? Question: Are both expressions "consistent estimator" and "consistent estimate" meaningful?

The quote below is intended to be illustrative; however, I am interested in the question above in a general setting.
Reading a paper on econometrics (Krueger, 2001, pp. 8), I noticed an expression "consistent estimate[s]":

Generalized method of moments provides a way to weight the sample moments efﬁciently to derive consistent estimates of the desired population parameters.

which I found a little weird; I was more used to "consistent estimator". I thought it was a typo. I googled the two expressions to see if one clearly dominates. Interestingly, Google gives quite many hits for both: 190 000 for "consistent estimator" and 126 000 for "consistent estimate". 
Here is a thread "What is the relation between estimator and estimate?" with a beautiful answer from @whuber. I guess it could be sufficient, but I would appreciate an answer specifically on whether the concept "consistent" applies to both "estimator" and "estimate" or just one of them.
References


*

*Krueger, Alan B. "Symposium on econometric tools." The Journal of Economic Perspectives 15.4 (2001): 3-10.

 A: The difference between estimator and estimate was nicely described by @whuber in this thread 

an estimator is a definite mathematical procedure that comes up with
  a number (the estimate) for any possible set of data that a
  particular problem could produce

Now, quoting Wikipedia

consistent estimator or asymptotically consistent estimator is an
  estimator—a rule for computing estimates of a parameter
  $\theta_0$—having the property that as the number of data points used
  increases indefinitely, the resulting sequence of estimates converges
  in probability to $\theta_0$. (https://en.wikipedia.org/wiki/Consistent_estimator)

Consistency is a feature of estimator, the estimator that is consistent also returns consistent estimates. Estimate itself cannot be consistent, but the estimates produced by consistent estimator are consistent.
Regarding the quote in your question, it is valid. Saying that the estimates are consistent is another way of saying that they come from consistent estimator.
Consistent estimate does not make sens since estimate is just a single number, so it cannot be consistent. Consistency is a feature of some process, or of parts of something, e.g.

the ​quality of always ​behaving or ​performing in a ​similar way, or
  of always ​happening in a ​similar way
  (https://dictionary.cambridge.org/dictionary/english/consistency)

or

  
*
  
*agreement or accordance with facts, form, or characteristics previously shown or stated
  
*agreement or harmony between parts of something complex; compatibility
  
*(General Physics) degree of viscosity or firmness
  
*the state or quality of holding or sticking together and retaining shape
  
*conformity with previous attitudes, behaviour, practice, etc
  
  
  (http://www.thefreedictionary.com/consistency)

That is why single estimate cannot be consistent, but multiple estimates can be consistent. If they are, they make their estimator consistent as it's behavior (that produced them) is consistent.
