I think the two are quite different.
The Browning is a truly scaled down 1911, it's uncanny. It's extremely cute, like railroad models with tiny houses. So, it copies the grip safety, and all other controls and features, but shrunk to 85%.
Most of the "1911-like" guns on the market draw their lineage from either Spainish pistols or from Colt Mustang. RIA Baby Rock is a knock-off from Llama MicroMax. SIG P238 was a clone of Mustang. Neither has a grip safety and their mechanism is their own animal.
Note that SIG P238 and Springfield 911 are no longer produced. Browning 1911-380 is still in production.