I'd say the loop in Deathloop may feel different from the typical "roguelite", so something like Returnal. Deathloop is mostly about the mystery, figuring out what's going on, learning more about your targets, their patters, how to get them where you want them.
This for one provides some choice in the levels you visit, there are 4 levels and 4 time periods in a loop. You could spend all time periods in the same level should you want. But mostly you'd be planning routs based on the information you gathered. "This thing is happening at dawn in that place, I'm gonna check it out".
This way even if you die in the middle of the run you could have made progress, as information is the most useful thing in the game (being able to keep a strong weapon or ability between runs doesn't hurt either though), that determines what you wanto to/can do next. So on your next run you won't neccessarily try to achieve the same thing as on the run you died.
You're essentially collecting puzzle pieces, and whether you live or die it does not matter much as long as you got a new piece.