Ah, sorry. Yeah, if I´m not mistaken OT doensn´t do this automatically. I´d use a scene to change pitch or a scene to change rate (with rate set to pitch, you get a much greater rate for pitching down) and then just introduce the scene while I change tempo (if you have for instance drums, that you want to slow down) or work entirely with a scene and not change the tempo at all.
Mayne not ideal for your use case, but I guess Elektron thought that many users would use the OT as a combination of loop player, one shot sample player, drum sampler, mixer, live sampler, effects box etc. and having global tempo to change pitch on all tracks seemed counterintuitive to them? OT´s tool for such things are scenes, which admittedly works quite well.
Or is there something you can´t do the way you want to with a scene?