Bosches for sure can - I've never seen a BSH DW do it, but it certainly is in the programming.
It's actually best to see in higher end Siemens model usage data.
Quick explanation: brilliantShine is a marketing term used by Siemens for a combination of Zeolite drying, a special valve allowing for more exact water hardness control and the extra shine option/cycle.
That option (and in turn the cycle) adds a second Interim rinse - as far as I understand with rinse aid used. So 3 interim rinses, 2 of those with rinse aid. (And adapts drying, supposedly.)
Most cycles as standard do a pre-wash, main wash, rinse, hot rinse and dry.
There's also load sensing fuzzyness - but in general, a 4 fill cycle like that will usually not use more than 12l/3.1gal of water.
Some cycles come close - the 90min cycle uses 11l for a 3 fill cycle as it does use higher spray pressures, and Eco goes down to 9.5l even though it does up to 4 full fills.
The Silent cycle - while based on Eco - uses 1l more being the same cycle.
And as you can see, the upper end Auto usage lines up closely with the brilliantShine cycle, which does do 5 fills total instead of the typical 4.
It does have the option - but I don't think I've ever seen it trigger.