So, since the design[1] and construction of a multimeter is important (I wholeheartedly agree), do you simply look for ones that have a yellow border with a dark face, and trust that this implies they're well made? Or might you look for the actual trademark 'FLUKE', and even buy from a reputable distributor to avoid outright counterfeits?

Personally I'm not a Fluke junkie, and think there's plenty of reputable mid-range meters that will protect you just fine. However I also think that a distributor-branded direct-import is not likely to be one of these.

But as far as trademarks, we're really talking about two quite functional colors here - a neutral-colored face for readability, and a bright shroud on the other sides for visibility. Many meters have been using these color styles for quite some time and, as your loyalty to Fluke illustrates, this does little to dilute their brand.

[1] Electronic design, as would be implied by the context if not for confusion induced by graphic/industrial designers thinking they have a monopoly on the term.