Wages and inflation

Marty Feldstein has a very interesting opinion piece on Project Syndicate. His main point is that micro distortions from social programs (and taxes, labor laws, regulations etc.) are leading many people not to work, and is well stated.

An introductory paragraph poses a puzzle to me, however,

Consider this: Average hourly earnings in May were 2.3% higher than in May 2014; but, since the beginning of this year, hourly earnings are up 3.3%, and in May alone rose at a 3.8% rate – a clear sign of full employment. The acceleration began in 2013 as labor markets started to tighten. Average compensation per hour rose just 1.1% from 2012 to 2013, but then increased at a 2.6% rate from 2013 to 2014, and at 3.3% in the first quarter of 2015.

These wage increases will soon show up in higher price inflation. 

This is a common story I hear. However I hear another story too -- the puzzle that the share of capital seems to have increased, and that real wages have not kept up with productivity.

So, maybe we should cheer -- rising real wages means wages finally catch up with productivity, and do not signal inflation. The long-delayed "middle class" (real) wage rise is here.

I'd be curious to hear opinions, better informed than mine, about how to tell the two stories apart.