I'm a little confused about Savitar's existence

So yeah we all know Savitar's existence is a causal loop; it has no beginning nor end. Savitar must kill Iris in order to ensure his existence; so that it will be set in 4 years that he will fight the main Barry where the latter will create time remnants and successfully defeat and trap Savitar in the Speed Force. We know how this continues; all but one time remnant was killed in the battle, and with that the remaining one turns evil for being shunned and goes back in time to get the Philosopher's stone and spread the rumors he was Savitar, the first speedster alive and blah blah, all leading up to the day he kills Iris to repeat the loop. However, I'm not sure all of you noticed but there's still a Savitar in the Speed force. If this new Savitar gets trapped in the Speed force, then won't be there be two evil armored speedster in the same cage? I mean the Speed force exists outside of time so I don't think the old Savitar was erased from existence when the new Savitar traveled back in time to make changes to the timeline. Maybe a plot hole? What are your thoughts about this?