Most dedicated mapping GPS receivers do better than a smart phone with GPS. I won't say that it is consistently better, but often it is. Most have a slightly better GPS antenna than a smart phone, partly because dedicated GPS receivers only need to do one thing, receive signals from space. Smart phones, by contrast, do that plus transmit and receive terrestrial signals, plus sometimes WI-FI and Bluetooth.
If you are operating in wide open country, you will get excellent GPS reception on either rig, so it doesn't matter. As you start to move into challenging terrain, the advantage of the dedicated GPS receiver may show. This is especially true in a difficult multipath interference situation, such as with lots of wet tree leaves overhead and some large rock surfaces nearby. However, even if your system starts having some difficulties, this doesn't mean that you are lost forever. Typically it means that your location seems to be jumping around erratically by a little extra.
OTOH, some smart phones use cell phone augmentation to GPS. If the GPS signals are marginal, sometimes the cell phone augmentation can help locate you, or more quickly. However, if you are way out in the boonies, you probably don't have any cell phone service, so you don't want to be counting on that augmentation.
Some people are getting so dependent on their smart phones to do everything that I wonder if they aren't missing the main purpose of wilderness travel. I do carry a tiny GPS receiver, but sometimes I don't use it for days and days.
–B.G.–