The model 60 tube feed is LR only. I think because it's a semi.
The model 795 mag feed is LR only as well.
The XT-22 TR and TSR are tube feed bolt action, and will shoot 22 L/S/LR - I think you need the combination bolt action with tube feed to shoot all three. (some lever actions do I think as well)
I like both mag and tube fed rifles but in bolt-action. No issues cycling low power .22lr in either and my Marlin 981T (tube) will also cycle shorts.