In my opinion, yes.

Any rifle you take should have the serial number and make of the rifle stamped or engraved on the receiver, plus the model and caliber stamped on the barrel. Something like "375" isn't good enough, either. If your rifle is a 375 H&H, then it should be designated as such.

For example, my own 375 H&H is a custom job built on a Model 70 action with a non-factory custom barrel. The receiver, of course, has the "Winchester" logo on the left side, with the serial number on the right side. The barrel has "375 H&H" engraved on the left, with "Model 70" on the right side.

My rule of thumb: Any numbers or terms that you use to describe your rifle on a firearms permit form, hunting license application, or U.S. Customs form should be clearly marked as such on your rifle. In addition, the caliber headstamp on your ammunition should clearly match the caliber designation on your rifle. For example, a rifle marked "338-06" on the barrel with brass stamped "30-06" doesn't really cut it in my opinion.

I once had an overly-ambitious custom riflemaker rework a pre-64 Model 70 into a 338 Win. Mag. In his somewhat misguided efforts to blueprint the receiver to absolute perfect dimensions, he removed the "Winchester" logo altogether, without telling me in advance that he intended to do so. He just went ahead and did it anyway. That rifle shot like crazy, but I always despised the fact that it no longer carried the original factory logo on the receiver, and I never had that rifle outside the state of Oregon because of it. To take it out-of-country was not a practical consideration. So I eventually sold it to a local friend who only intended to hunt elk around here with it.

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