Yes.
The faster growing plants suck up the ammonia much faster, and use it to put out new growth and new plants, which are then also sucking up ammonia as well, as you see from all the new growth some fast growing plants like hornwort, anacharis, guppy grass and other fast growing stem plants put out. Floating plants like duckweed, frogbit, salvinia etc are also fantastic ammonia suckers, since they produce so many new plants so quickly. Most of us with floating plants wind up having to throw handfuls of the stuff away on a regular basis, otherwise it would completely coat the surface of the water, it grows so fast.
Slow growing plants like anubius, java fern, the mosses etc have their place! They're easy plants for beginners, undemanding in terms of lighting and nutrients, since they prefer to be shaded, and aren't putting out lots of new growth rapidly (usually), so they're not requiring high lighting, CO2 or ferts to survive the way some more delicate and difficult plants do. The slow growing rhizome plants like that are also great because they can be attached to hardscape, still provide cover and habitat for the fish, and contribute to water quality - just not as much or as fast as the fast growing stem plants or floating plants.
Those fast growing stem and floating plants I listed above are also pretty undemanding, not requiring special lights, ferts, CO2 or delicate handling, so they're easy for beginners too, but do a lot more in terms of water quality and helping cycle a tank or handle a crisis in water quality than the slow growing plants do. A mixture of both types is nice to have!