Were there patent issues? "this wasn't our idea" issues?
Anatole Mallet was a Swiss locomotive engineer, so the Americans didn't invent the 'Mallet' either. What we know as the 'Mallet' locomotive design was patented in 1884, and the first US example was built in 1904 by ALCo, a few years before the first Garrett was built (in the UK for export) and after various 'Mallets' had been built in Europe.
So by the time the first Garrett appeared the Mallet was already an established design. It has the advantage of having all of its adhesive weight provided by the 'engine' part of the overall locomotive (same as on a rigid loco) so it doesn't vary, whereas on a Garrett the adhesive weight decreases as the fuel and water is used (as that sits over the driving wheels at both ends). Garretts also have two sets of flexible steam joints instead of one set on a Mallet (where only the front 'engine' is articulated).
It was originally 'mountain' railroads in the US that took to Mallets, where they replaced pairs of 2-8-0s and the like on low-speed coal drag and pusher service, halving the crew costs (on lines where large rigid locos would not have been able to cope with the curves). In that sort of service maximizing the adhesive weight was all-important, so probably the Mallet design was the most suitable. Railroads like the coal-hauling Norfolk & Western went for Mallets in a big way as a consequence - their home designed-and-built later 'Y' series 2-8-8-2 locos were the stuff of legend, possibly the best true Mallets (i.e. with compounding) ever built.