Don't even have the room or plumbing for a slim line dishwasher so no chance for that to be king otherwise would use that. But you should still never be putting in grease loaded trays, frying pans in the dishwasher.
That's why there issue with fatbergs are a bigger issue than ever. People chuck it all in or wash it up with hot water, the grease dissolves and then as it cools in the drainage system it congeal again.
For instance Oxfordshire Council actually collect the fats/oils/grease if you put them in a plastic container (we use old take away containers) and put it in with your food caddy.
Oxford City Council; building a world class city for everyone
www.oxford.gov.uk