Earlier quoted context omitted.
In exactly the same way as any other password hash is cracked.
By iterating over all passwords? That seems like the definition of a good password storage if that's the only way! I mean, you can make the same complaint against anything; it's meaningless by definition. Sure, public-private pairs are more difficult (to impossible) to brute force once they're so long, but srp, bcrypt, pbkdf2 &c are pretty good when you want/need a password. Srp being superior in that your secret nev…
SRP gets you (1), but is inferior to every other modern password hash on (2). SRP is better on (2) than other PAKEs (it's an "augmented" PAKE because it tries to slow down brute force), but password hashes have (2) as their whole objective, and total design freedom.
You can combine PAKEs and password hash concepts. But for the purposes of password storage, SRP isn't buying you anything (except for a bunch of possible crypto bugs that will gameover your project).
SRP is a bad call for virtually all projects. Or, maybe a better way to say that is, "if you have to ask, don't use SRP."