The SWP might like to be Syriza but I don't think they have the same potential for a wide appeal because the ideological vacancy isn't there (Labour never had PASOK's breadth or depth of support).
They also have fairly different ideologies and theoretical standpoints than SYRIZA did (and that's definitely past tense). Everything you've described from the way they recruit to bizarre factional sectarianism is a)textbook Trot, b)guaranteed to stop them from ever actually refounding the Worker's International, and c)destined to steer them clear of any strategic possibilities (of which there are loads rn).