Both the OM61x and OM60x have the oil filter in about the same relative location, left rear of the block.

The coolers are different.
OM61x cooler is next to the radiator, tall and skinny.
OM60x cooler is behind the left bumper in front of the left tire. It is almost square.

The lines both start as hard lines at the filter housing. They transition to flex lines along their length at different points. The 61x is almost all hard line with a little flex line. The 60x is about 60/40 hard/flex.

You'll still have the same situation. You'll need to have adapters in the oil cooler ports. And you'll need to cut off the hard lines just past the crimps for the flexes and braze on adapters.

__________________
The OM 642/722.9 powered family
Still going strong
2014 ML350 Bluetec (wife's DD)
2013 E350 Bluetec (my DD)

both my kids cars went to junkyard in 2023
2008 ML320 CDI (Older son’s DD) fatal transmission failure, water soaked/fried rear SAM, numerous other issues, just too far gone to save (165k miles)
2008 E320 Bluetec (Younger son's DD) injector failed open and diluted oil with diesel, spun main bearings (240k miles)

1998 E300DT sold to TimFreeh
1987 300TD sold to vstech