You mean the coating, i assume you dont mean somebody has literally tinned it with solder at the factory.
Yes...
Look at this picture:
Two Oryx tips left and centre and a Weller tip on the right.
The Oryx tips have certainly never been used, and I don't think that I have ever used this Weller tip.
The tips are made from copper and have an iron coating, the Oryx tips are slightly magnetic. I did not bother to test the Weller tip as it has a magnet in it anyway, that is how the temperature control works.
The iron coating is a dull grey colour on the Oryx tips and there is a bright coating at the end of the tip where it was dipped in solder at the factory when it was made.
When using a tip for the first time, I would always melt plenty of solder on to the tip as soon as it got hot enough.
When wiping a tip on a sponge, there is no way that the solder layer is going to be removed completely, it will just stay there a few microns thick.
Some of the very "high end" soldering procedures from organisations such as NASA, say to put a small amount of solder on the tip before putting the iron into its stand. This may offer some advantage with regard to a cleaner tip before the next joint is made, but I suspect that the effect is marginal.
Note that copper is soluble in solder, which is why tips are iron plated.
A bare copper tip will be dissolved away by the solder which it melts. There is a type of solder known as "SaveBit" which contains a small percentage of copper in the nominal 60/40 tin/lead mixture.
It must be nearly 40 years since I last used SaveBit, but it was effective and reduced the wear on the old plain copper soldering tips.
JimB