And later, I found a reference which further answered my own question -  Seago, 
John H.; Seidelmann, P. Kenneth, The mean-solar-time origin of Universal Time 
and UTC -  I see this conclusion:

“[...] UT1 still appears synonymous with "mean solar time at the prime 
meridian" to within a fraction of a second, despite the definition and 
maintenance of UT1 having evolved significantly over the past century.  The 
"prime meridian" in this case implies the International Reference Meridian that 
includes the terrestrial origin from which Universal Time is measured, and 
which has advanced approximately 0.36 [seconds] to the east of the 
internationally recommended origin of longitude -- the Airy transit instrument 
at Greenwich.  This translation resulted from changing conventions and methods 
by which the relationship between Universal Time and the terrestrial reference 
were maintained over time by the Bureau International de l'Heure.”

So, what I take from this is, 1) UT1 (and hence UTC) is based on the 
International Reference Meridian, not the Prime Meridian (Greenwich).  2)  
“True” GMT (if the mean sun can accurately be measured and predicted by 
formulae, which has its own set of problems and error bars) lags UT1 by about 
0.36 seconds; but it doesn’t really matter, since the whole world is now based 
on the IRM.
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