I've put a B20 head on to a B18, it's no problem so long as you use the B20 head gasket. Compression will be down, but it will run fine on the cheapest petrol.
I've heard it said that You do not want to put large-diameter combustion chambers on narrower cylinder bores, but stock bore B20's have a larger diameter combustion chamber than the cylinder bore too.
If you have a healthy B18 bottom end needing head work, I would trash the B18 head & use an unleaded B20 head. Ideally, get a professionally ported head. It's a one time investment that lasts practically forever.
In Phil's "How Not To Rebuild an Engine", the problem is the opposite, a B18 head is fitted to a 2130cc engine. This would produce too much compression, thus making it very picky to tune. A quick fix would be to dump some compression by tightening up the intake lash.
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