I worked on a previous iteration of Threads at Instagram, and I don't think the 25 person-years number you're estimating spent on the project was spent primarily on backend engineering. They concurrently launched native iOS and Android apps, and I
think you're also factoring in the IC count from the linked article to mean full-time ICs dedicated exclusively to Threads, which is probably not how it worked. (Although TBH I'm not sure how you arrived at 25-person-years from the article, which said the project started with "dozens" of engineers and peaked at 50, and was 7 months long in total — a simple average of 24-50 engineers for 7 months, even if you assume they're all full time, would be about 21 person-years).
When I was at IG, my team was 20-something ICs full-time on our project, bursted to maybe double that as necessary in part-time help from ICs in the wider org. We had a total of three backend engineers, of which I was one, as well as a backend intern for a few months, although we bursted the backend team for a couple of months to four for some ML help.
Your project sounds pretty cool! But I don't think the comparison to Threads productivity is quite right. The majority of IG engineering is focused on building polished native clients, not generally on backend infrastructure. It's true that Meta already has a lot of the backend infra built — if Red Planet Labs can come close to what you get at Meta, that's pretty amazing. But I don't think the numbers you're quoting are apples-to-apples, or mean quite what you think they do. I don't know if this version of Threads operated exactly like the one I worked on (a Snapchat competitor), but I'd be pretty surprised if there was a product team at IG that was majority backend.
(Edit: I also think it's worth keeping in mind the experience levels of who works on these projects — at IG it's usually a smaller number of E6/E5s guiding a larger number of E4/E3s. Person-years are not all equivalent! If you spent ten years building the Red Planet Labs infrastructure based on your time at Twitter, nine person-months of your team's time building a product on your infra might not be the same as nine person-months of someone else's.)
Anyway — I don't mean to downplay your product, and really, if it's anything like the backend productivity I experienced at Meta, that would be pretty groundbreaking. Curious to see what you launch :)