SAS cancelled our flight from Stockholm to London. Will they rebook on the BA flight leaving around the same time as the one they cancelled?

For comparison, BA have provided all sorts of options for rebooking on partners outside their own alliance when they cancel their flights; see this thread:

https://www.flyertalk.com/forum/brit...ympic-aer.html

Would much prefer that than the option they’ve moved us to which is later, or the previous flight which is many hours earlier and leaves us with less time in Stockholm than we wanted.

Also, is there a quicker way to do this than calling their phone line? Wait time is 116 minutes!