No, not always. And depending on the parasites he has cleaning the cage is different because the eggs (oocysts) are different. Some you can just pull everything and clean well by spraying the plants down really well in a shower and really spraying down all the branches. Some you have to deal with stripping the cage of everything porous such as branches and plants and throw them away. Then clean the cage with 40 volume liquid peroxide like they use in hair processing. We always hope that it is not the bad parasite that people have to deal with. Due to the stress, cleaning, follow up fecals, and loss of money on stuff you have to toss.
Without proper cleaning per specific parasite you risk reinfection as the oocysts come out in the fecal and stick to surfaces the fecal hits. Cham then drinks or eats off of that spot and reinfection begins.