Charlie,
It all depends on whether your a shooter or a collector. If you shoot a crap barrel will not give you a decent score, or perhaps reduce the vermin in your area. If your a collector, then you may not be quite so fussy. Personally I like firearms I can shoot accurately. If a rifle doesn't do that, then to me it's worthless. Purely my own opinion of course. A 'Parker Rifled' barrel is probably more accurate than the original rifle was, if the gunsmith who did the relining knew his job.

Harry

If all original and the bore is in poor shape a new barrel would be a better choice as one could then put the original back on at a latter date if need be for collect-ability.

J.Louis

My feeling is a gun with a worn out barrel is worth less than an equal gun with a properly installed liner. Of course a relined gun is worth less than an original with a nice bore, but the key is the original bore condition. I doubt anyone would pay more for a original gun with a sewer pipe bore vs. a relined gun.

I get this question often, because I am in the business of relining and replacing barrels.  There are a lot of so called collectors out there that can't tell if a gun has been rebuilt, if the rebuild is done properly. There are some shops that can replace all the original lettering on a new barrel and put the right type of blue on. Look at what Doug Turnbull does and he is not the only one. I have customers that are collectors that will send me a rifle with a pore barrel and want it to look like new, ether by making a new barrel or by relining. They all want the same thing, an old gun that looks like it has never been used.  I think it comes down to bragging rights, look what I got and you ain't got one or mine is better than yours. Some of these collectors will spend more on a piece of junk than they could ever hope to get out of it. I have also lost work because someone told a customer that he was destroying a valuable antique by having the barrel repaired. If the barrel is full of rust it is not a valuable antique to someone who wants to be able to shoot it. While there are a few collectors that will hang a rust covered gun on the wall I believe it is because they can't afford one in pristine condition. There even seems to be a difference if the gun was repaired 100 years ago or today, if it's an old repair it's still an antique but if the repair is done today it destroy all collector value. Who comes up with this stuff?

Right now I have 2 22rf pump guns i am going to reline because the bores are sewerpipes and they have extraction problems.  Rifle 1 is a 12C Remington that is going to get a terget grade liner. The other is a Savage 1903 getting a standard redmond liner. I think relining by a good gunsmith will increase the value of both of these rifles. Relining dosen't seem to affect value on Gun Broker. 
Tom

There are modern collectibles and old/antique collectible firearms. The key word is "Antique" If a firearm is an antique by most accepted definitions it is at least 100 years old. A firearm that is antique that has a barrel relining or repair that was done in the past i.e. 100+ years ago is still an antique. A firearm that is 100 years old or older and has been or is repaired in modern times ( namely less then 100 years ago} is by definition strictly speaking not a true antique or at a maxium a messed with antique  since it has been modified or repaired less then 100 years ago. Don't necessarily like are always agree, but I believe  this is the case. I'm not messing with an antique anything unless it is cheap and has no real collector value.

I don't understand that one either. I understand match chamber in a .22. As far as I am concerned TJ liners are as good as it gets.