I've not played either, so not able to answer. My own take would be that it is going to be better to get a pro quality instrument, than an intermediate one, which can seem like an unnecessary one. Identify what you are looking for soundwise, and see what is available used or otherwise. Bauhaus Walstein seem to be based on Yanagisawa design, but at cheaper cost. I have a BW curved soprano (highly rated against the Yani equivalent - BW about £350, Yani upwards of £1600), and know lots of folks who have the BW Tenor, which is also rated highly compared to the similar Yani (again much cheaper). Both seem to be considered of pro quality, but without the price tag!
From a practical perspective I have tried various Yamaha Brass instruments, and to tend to feel that they are a little overpriced (as are others), and that there are excellent cheaper instruments, but less well known (like Bauhaus Walstein, Hanson and Weril.....). So not wedded to Yamaha, but aware that their pro quality saxes seem to have a bit of a following. Just skeptical of intermediate quality instruments (whatever they are).
Hope this is helpful!
Tom😎