If the sole virtue of that "tea" is that it returns nutrients to the soil, you can eliminate the smelly middle-man.
Just chop the leaves and compost them instead of brewing tea.
Or chop them up and use them as mulch.
Or just use them as mulch.
The minerals including NPK will still get into the soil, just more slowly and less stinky. (Less stinkily?)
If the virtue of that tea is that someone thinks anaerobic microbes or anaerobic fermentation products are GOOD for soil or plants ... that's their theory and they can speak in favor of bad smells and whether "fresh bad smells" are better in their theory than "old bad smells".
I just barely believe that aerobic compost tea is a plausible theory: that encouraging aerobic COMPOST microbes to grow on leaf surfaces and replenish microbe populations in the soil might be better for plants than just giving them the compost itself, straight up, on the soil.