Oh you meant real dips. I first thought you were referring to the stupid ones people do off the benches.
Yeah doing those deep dips obviously carries more weight than a pushup...
Yes real dips. They definitely kill your triceps. Pushups are cake now that I can pump out dip after dip. Doing any kind of complex lift will work not only your primary muscles but also support and core muscles. That's why bench and dips are far superior than stupid tricep isolation exercises or that dumb butterfly machine.