I'm worrying about the picture-framing and expansion
Good eye. There are multiple issues with the design of the table pictured, if you want to make it from solid wood. The first is not obvious, it's the 'edge banding' around the periphery. This frames the table, which is nearly always a very bad idea if the tabletop is made from solid wood (see recent Q&A).
This is one of the things that make me suspect that the table in the photo is made from plywood or another board material with veneers applied. I actually hope it is because there is an alternative explanation unfortunately — that it is built exactly as it looks, which will inevitably lead to cracks, various joints opening up and possibly other issues. It's sadly too common these days for things to be built with no consideration to wood movement. Periodically I see pieces built poorly like this where cracks have begun to form even before the piece has left the showroom.
The more obvious picture-framing in this top isn't the usual way it's tried, with just a relatively narrow frame around a wide field. And as a result it may be possible to do this using solid wood throughout. The main issue with picture-framing normally is the inevitable expansion and contraction of the central panel, which will push apart the framing (breaking some of the mitres) during wetter months and shrink in away from it during dry months, opening up gaps on the long sides.
Here the centre is just the one board and it's not too wide so you might be able to get away with it (although it will strain the joints somewhat). It would be highly advisable to use quarter-sawn wood for this centre board at least to limit its movement. QS material used throughout would actually be desirable, although what's available in your chosen species is going to limit you here.
Because the mitred elements are so wide here you do have to be concerned about those long mitre joints. Glued-up panels are primarily joined with simple butt joints which because they're long-grain joints are very strong. The 45° cuts making up four of the major joints in this top are end-grain to end-grain joints, which are famously weak and in need of reinforcement. And that's even in a picture frame which will be oriented vertically with no strain put upon it but its own weight! Not a tabletop that someone might lean their weight on..... so I think the table's apron will need to be large enough that it provides good support out to near the edges or you'll run into problems in service..