What's "the ideal" schedule, exactly? I'm not clear on that.
Anyhow, if there is any difference, it's still minimal at best. With seven days in a week, you're pretty much always going to train two days back to back so it's almost a non-issue at some point. It's just the way we have to arrange our training. Though, some people do "stretch" their training split out over more than a week and focus on just training "once every X days".
So one week could be Mon - Squat, Wed - Bench, Fri - Deadlift; Next week it's Mon - Press, Wed - Squat, Fri - Bench; Next week it's Mon - Deadlift, Wed - Press, Fri - Squat, etc. That's really thinking for the long-term because it'll be slightly slower progress in the short-term, but over months and years, it "balances out" so to speak. Personally, I find it more convenient to just fit everything into the plain old seven day week and have that be that.
Bottom line - As long as you're getting your training done, don't sweat it. Steve Reeves once wrote about training Monday morning, Wednesday night, and Saturday morning to squeeze and extra half-day's rest between sessions. As great as Reeves was, that's sweating it.
There's always going to be some cumulative fatigue (both "total body" and for smaller support muscles like the low back) when training on successive days, but in very short time, you should adapt to the point where it's barely a noticeable factor.
Depending on your nutrition, it could also be a potential variable to consider. For example, for people who carb cycle, having to hard training days back to back likely means having two higher carb days back to back, which influences how their low and medium carb days fall through the week.