I guess it'll only make it quicker if you can polish quite quickly. I have a CND UV lamp for Shellac and my Gelish LED lamp and it makes no difference really as I'm not that quick at polishing, so I'd say no, not really.
It's not worth rushing the application. As long as the prep, base coat and first coat of colour is done really well, then the second coat and top coat can be done a bit quicker.
With me it's the prep, and the removal and re application that takes me the longest. I agree with the comments above, as long as you are thorough and the clients are happy, I wouldn't worry. You'll naturally get quicker with experience.