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Reset methods on assemblers were needed for this.  So far, we'd gotten
along without these, because structs happen to not reuse assemblers
between fields.  But we definitely do need them in general.

It would've been possible to avoid having the reset methods on scalars,
but it doesn't seem work the effort; it would save a line of GSLOC,
but make absolutely no other practical difference, and also make the
templates a fair sight more complicated.  So meh to that.