Honestly I don't know how much credence I'd put into that post, as the two he recommends (NIST P-256 and NIST P-384) are viewed as "unsafe" by DJB (Daniel J. Bernstein) - http://safecurves.cr.yp.to
I'd probably trust DJB more than the author of the blog post you referenced, which is why Monero has continued with Curve25519 and DJB's fast Schnorr algo (EdDSA). We will absolutely switch curves if sufficient evidence shows that the curves / algos we use are questionable.
Thanks for your reply and the correction (edited). It looks like safecurves mostly is concerned with minimizing the ways that algos can be implemented badly, while the one I linked is mostly concerned about what has been used the most.
Another criteria might be which one has the most immediately takeable cash riding on it. In that case secp256k1 would come out on top