Pad/felt applicators are easier to use and faster between the two, if those were the only options. If the intention is to easily do a good job and not leave a mess, spray application for bicycle chain lubes is last place compared to essentially anything else.
Sprays require care and extra steps to keep the lube from getting where you don't want it (brake surfaces especially, but also everything you don't want to have an oily residue like your cassette, derailleur, frame, the ground, etc.) They also invite over-application - the ideal amount of lube for most bike chain lubes and most situations is one drop per link, or potentially two or three for certain ones and/or in certain situations. While possible, they make it it more difficult than most other options to control the volume coming out. This is not to say sprays don't or can't work, but the question is about relative merits and they mostly don't have any.
There are nice things about pad applicators, i.e. it is true they reduce wasted lube, but they get dirty quickly and need replacing. Also the notion of wiping lube on to a chain like they do doesn't work equally well for every lube; thinner and more penetrating ones can creep into the inner parts of a chain when applied that way, but mid-weight or thick ones wick in better when applied as a drip down the middle. Meanwhile, good technique with a drip bottle makes waste very minor for most lubes.
The reason most people use drip application for bike chain lube is not economy, it's because it's the least hassle and gives the best results.