Is it similar to Facebook’s Production Engineer role or Google’s SRE role?

No, it's a sales engineer/field engineer role borrowing military nomenclature because marketing

Some skill overlap but that's it. I was incredibly surprised to find what I thought was a Site Reliability Engineer role was actually 'forward deployed'. I've taken to calling it Sales Recovery Engineering (lol), or realistically, consulting while someone else negotiates, enjoying less freedom/compensation and completing extra work.

In fewer words: people want you to think so, but not really. I'd argue FDE is a change for the worse (as an employee). Less about managing your direction/service, and instead, customers.