Hi blackriderx,
The foundation post here should be helpful and includes the guidelines I would suggest for a latex mattress and includes some sources for some good options as well.
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I’m not familiar with this platform bed so I would want to make sure that it had gaps between the slats that were 3" or less but it does have a center beam with one support leg to the floor so this part would be OK. If the slats were 1x3’s it would probably be close but just a little over but if you wanted to “make it work” you could add something like the bed rug here to even out the support underneath the mattress.
This would certainly be strong enough but you can see my thoughts about wire grid support surfaces in post #10 here.
Phoenix