What you describe isn't composting, it's what I would call mouldering. The contents in the bucket will just sit and not do very much because of the lack of aeration and the lack of heat build up. I let my 20L buckets sit sometimes for several months before I empty them into the
compost bin and it's a completely different process going on in the bucket than the bin.
I've known people who empty their 20L buckets into a larger, sealed, unaerated container, that is also not a compost system. I think those systems either use urine separation or heat to remove fluids. I think it breaks down into something after a year, but it's not the safe compost that can be used anywhere that you get from a
Humanure system (maybe tree planting?). What were you wanting to do with the bucket contents after the year or two?
Maybe you could design a hybrid? I've seen bucket systems
online that are in RVs and have an aeration pipe in them. Maybe holes drilled in around underneath the top edge as well? A handful of tiger worms and some kitchen scraps before putting the lid on? Leaving the bins somewhere where they will heat up in the summer. All things designed to get as close to composting as possible.
I'd also go for a cover material that had loft eg dried leaves, rather than sawdust which compacts. You will fill the bin faster that way though.
It's a huge number of buckets after a year (52?). Is there a reason you want to do this rather than empty into a bin? The other option is to use a wheelie bin as the first catchment, which can be set up to be a composter (see Milkwood's system for a great description). But you need height to do that.