I understand your question but I'm not sure of the answer. I wonder about coverage using the fine mist of a pump sprayer. I see the spray material bead up and wonder how much good it is doing the new growth. I've been doing this as a hobby (20+ years) and a business (16+ years) and generally I just trust that the funcide is going to work and it does.
Although you get finished with you spray job faster and easier with the hose end sprayer you are using more spray material. Just keep that in mind especially if you live in Florida where everything leaches right through our sand.

Hose-end sprayers are not as efficient in using or distributing product as pump sprayers. Also, you need some kind of spreader or spreader/sticker agent (many people use dish soap like Ivory or fancier products such as Indicate 5) to hold the spray onto the leaves.