Interrail global pass validity on Snälltåget and Öresundståg

Hi,

Still struggling with train connections from Stockholm towards Copenhagen, this has turned out to be the hardest section to plan. We have seat reservations for the 8.24 Snälltåget 3941 from Stockholm to Malmö on June 17th and plan to continue from Malmö to Copenhagen on the 15.33 Öresundståg 1093. Just want to make sure that our Interrail global passes will be valid on both these trains? The SJ couldn't answer my question although we booked the seat reservation from them.