Recirculating pumps
"Until sump is clear such recirculating systems will regurgitate whatever mucky or froth laden water is down there, at least for part of fill."
Don't forget modern washing machines without a recirculation pump will have a valve such as a ball float to close off the sump to stop detergent going to waste, so any muck or froth that might try to settle out will get churned up by the rotating drum back into suspension in the wash water and find its way back into the drum around the door seal and through the holes and get sloshed over the washing. So no better or worse in that respect than a machine with a recirculating pump, where the filter, if you can call it that, will only remove coarse debris bigger than a couple of mm or so that might damage the pump, and pump it back over the washing.
As I've mentioned in another thread, the recirculating pump was my reason for getting a Zanussi Jet System, after a poor experience with the previous Hotpoint.
The Zanussi will get the washing wet through in probably about a couple of rotations of the drum from when the pump starts, and probably about the same even on one of its two Eco cotton programmes, which reduce the water level saving electricity heating it, but add about an extra hour to the wash to make up for the lower water level, while only saving a couple of hundred watt hours (0.2kwh) of electricity, due to it having an old fashioned universal (brushed) motor, rather than a more efficient inverter drive one and also has a horribly inefficient shaded pole motor recirculating pump.
I think having a recirculating pump also does a better job of dissolving and distributing the detergent.
The Hotpoint which was around a 2002 machine, so used a fair bit less water than my previous machines but nowhere near as little as current models could take most of the washing phase just getting the load wet when washing near a full load. The water level only got high enough to saturate the outer layer of the washing in the drum, and the drum which is of course a fair bit smaller than you have in US machines, so with it 3/4 full to the top with dry washing there would be virtually no movement other than a very slight dropping as the drum turned, so the only way the washing at the centre would get wet is from water dripping out the wet washing when the drum stopped to reverse. It would eventually reach the point when there was enough weight from wet washing for the load to slump down and the clothing would finally start to tumble and get properly wet through and move around in the drum so it could wash properly.
It could still be adding water as it soaked up into the washing almost up to the end of the wash stage. I got into the habit of pouring a jug of water over the washing in the middle before starting the wash so the added weight would get the items to move around from the start, which made a huge difference to its cleaning performance.
So I'd be reluctant to buy a modern machine that didn't have a recirculation pump, given their even more stingy water usage.