Yes. The engine is still a 360 engine block. or , in your example, a 318. however, since the engine displacement has been increased, due to a larger boring, during the rebuild, than the original block was bored, it is now a 366 or whatever.
for the sake of simplification, everyone still calls it what is once was, 31, 360, 440 whatever, then add bored .30 over or whatever the bore amount happens to be.
NOTE: some engine blocks take slight boring very well with no real negative effects. others do not.
I, personally, have never been a fan of "boring" an engine and would sooner get more power via another source.
Though as mentioned previously, if you want to re-use a block, sometimes there simply is no other option than to bore it out, slightly larger, due to cylinder wall damage.
And ,no, I do not want to talk about sleeveing,. if they even do that anymore.
Something else I was never a fan of.