Not so far--in fact just the opposite.
Few years back I find a Benelli M1 Super 90--pistol grip, long mag tube--on the used shelf for what seems a ridiculously low price. I ask about it, he says it's a "police turn-in; it's pretty worn."
I look it over. Sure enough, the chrome on the bolt face is gone, and the barrel looks black, not one bit of chrome. But, mechanically, it looks sound. I walk out with it.
As always, first thing I do when I get home is break it down and clean it. (BTW--can ANYONE get that mag tube off?) It's filthy, no sign its ever been violated by a cleaning rod. I mean it.
After I get the receiver and bolt cleaned up and oiled, I grit my teeth and start on the barrel. And a funny thing happens--I begin to see a little chrome. And then a little more.
G-d know how much solvent later, I've got lots and lots of plastic-filled patches; but I'm looking at a barrel so shiny it's like a kaleidoscope as I peek through it and swing it around the room. And, probably from all the solvent fumes, I've got a big, stupid grin on my face.
Took it to the range. Doesn't like birdshot or reduced loads, but with slugs or any standard buckshot (4 to 00), zingo!--no problems. We agreed on 1 buck after patterning. It now wears a flashlight and is within easy reach at bedtime.
So, no, no problems with chrome-lined barrels for me!