Yes. I'm sure you'll get various opinions on the subject - I'd say depends on the amount of leaves to some degree.
I mulch mine and they go into the lawn for food, but I only have a few trees and it's manageable. If you have a lot of trees you may end up with more leaves than you can reasonably mulch into the lawn and then you'd want to sweep them up.
I also collect some of them and put them in my garden boxes to break down and provide nutrients and dead matter for the soil.
You could also start a compost pile if you have a garden.
I have a lot of trees so I mow them over real good making a couple of "wind rows" then pick them up with the sweeper and dump them in the lower yard and then push them up with the blade and into the woods. I never touch a rake anymore!
Use both, mulch up the leaves before sweeping them up, I`ve done it that way, works well, then if you can dump them in the woods just blow the pile out flat instead of building a big pile. the 42" high speed sweeper hold 18 bushels, made by Agri-Fab.
Not sure how I will do it now with the 530 vs the LX280 with pirana deck I just sold. I would mow every day when the leaves sarted falling but when they were coming too fast I switched to the sweeper. Guesss I'll tryPA318's way this year unless I buy a mulch kit for the deck. My opinion is if youcan mulch them fine enough it's good for the grass, free fertilizer.