my two cents aren't worth much but I like the original line better

Well, I like the first to lines of the 2nd stanza because it matches well with the last two lines.  I don't like: 
" Now some are given coins their circle picks—" so much in the revision and I don't know why but it does fit the new ending. And the name is perfect but I didn't get the playful feel in the original that I do in the revision which is not bad... your work just changed my idea of what it was saying 

Doug, 
I like your revision but didn't completely appreciate it until I read the crits.  You do such good work as you can change an entire stantza and both work well... I'm undecided about the revision of the last. They both work so well. 

EzraWrites wrote on Jan 1^st, 1970 at 12:00am:

Hey D Allen, or Allen, or Jenkins, or Allen Jenkins...lol

Initial nomenclatures tend to be 
our name of choice, but often people use 
their middle names, unless, like royalty, 
they have a plethora from which to choose. 
 
Still others have a name another picks— 
their lover, brother, friend or enemy; 
a name with which they’re tagged that always sticks 
because of something fun or infamy. 

- I'd spell infamy like this in-famy. 'because of something fun or infamy' doesn't sound right on the read. Maybe even another word. -
 
Yet what we call ourselves does not disguise 
reality’s expression of our being; 
it’s not the rose’s name that quantifies— 
it is the smell of which that poets sing. 

- 'it is the smell to which that poet sings'  Even though poet would be singular I think it would carry "poets" along with it - 

- on a side note I think 'being' ought to be left out of 98% of poetry (personal bias) -

Our lives are measures(d) by things said and done; 
no matter what we’re called, we’re still the one. 

-I think the last line is weak and cliche. "we're still the one"? I know you can write it better than that DAJ. 

Just a quick run through in the late-night. I like the idea of the poem and a quick count of the beats looks good. 
The title could also be more poetic. The names of poems DO count.    

Doug,

This is great.  I never feel qualified to critique your work because it always looks perfect to me and reads so well aloud.  So it's a compliment I've to offer instead. I especially love this:

it’s not the rose’s name that quantifies—
it is the smell of which that poets sing.

Monique