Speaking from experience with vastly distributed teams, here are my thoughts...
Don't Split the Daily Scrum
First, don't split the daily scrum. You don't split a scrum team. That just doesn't work.
I'm Surprised by Some Implications
I definitely agree the burden shouldn't be on APJ, or any other region, for that matter.
I'm surprised that you're describing a team setup with members in AMER, in EMEA, and in APJ/APAC... and the selected timeframe is the morning in the US! A 2PM CET timeframe would seem more viable by most, except for US Pacific Time and Japan/Australia. Please note that I said viable, not ideal.
The problem with 2PM CET is that it's in what I call the "meeting dead-zone" for EMEA: that band in the middle of the day where everybody already wants to have a meeting, so you need to find the right spot that works for all.
Also, a mid-day or end-of-day daily scrum doesn't sound right anways.
Strive for Inclusivity and Rotate
Keeping a single team that's distributed across the entire world inclusive is difficult.
Remind people that Earth is a sphere, not a flat map... The "edges" don't really exist!
So, something I've seen to work in the past was to rotate the "burden": one Sprint is aligned on AMER, next Sprint aligns on EMEA, next Sprint aligns on APJ/APAC, ...
I don't like this so much because it breaks the predictability of the process, but it can work and at least shows a commitment from ALL regions to suffer equally through some odd hours.
Split the Projects and the Teams
Note that while I said you can't split a project team, you can, however, split your project into smaller projects and smaller teams, and have them work separately, or jointly with a scaled agile methodology of your choice: Scrum Nexus, Scrum @ Scale, Less, SAFe, DAD...
It may add some overhead, but considering your context, this may actually optimize the way you're currently working. It does require some trust and accountability.
Reconsider Scrum and Agile
Agile in general was meant for co-located teams. Of course, that was in a time when we didn't have that capacity for virtual or hybrid workspaces, and distributed teams.
Still, I'd say it generally works best for co-located teams. But it can work very well for distributed teams as well if you work with the right mindset and culture.
If the culture can't adapt to distributed teams, your daily scrum isn't your biggest issue.
Note that you didn't specify if all teams had "equal" footing within the org chart, what the team size was, and if some teams were external. So I'm keeping this relatively high-level for now.