SAS at ARN and (somewhat less so) at CPH try to make most strollers get checked in landside with the oversize luggage. Even the Maclaren type collapsible strollers that could fit in an overhead bin if taking up the whole bin while doing so.
IIRC with SAS, the included allowance for child strollers and car seats is different based on age of child and/or maybe whether or not the child is a lap child or not. I do know that SAS now handles the stroller and car seat related allowance differently than US carriers (even when looking at US carriers for comparable city pairs to SK service). US carriers are more generous with child related baggage allowance than SK.
The CARES harness works for toddlers in economy class on SAS international, regional and domestic flights, but for a one-two year old, a car seat is generally more comfortable.