WBS Reddit Mentions | ChartExchange

For context, I did my undergrad in Physics at Warwick.
I don't know which of these is better for breaking into quant, if there is a big difference. Also, I am genuinely quite interested in applied maths, hence I read Physics. Financial applications are very intriguing to me, so the course is not just for quant but I'm learning something that I find interesting.
The Mathematical Finance aspects of both of these courses are very similar, using electives at Warwick I can make it very similar to the UCL core course, especially since many of those electives are used in the MSc Mathematical Finance course offered by WBS. There will be some content missing though, which I'll give a bit more detail about later in this post.
One of my concerns is that an MSc in FinMath 'pigeonholes' me into finance, assuming I fail to break into the industry will it be more difficult to land roles in for example consulting, data science etc (I'd like to hear alternative pathways for these degrees). MSc Stats with Finance seems a bit more versatile? Also more theoretical and therefore more interesting.
There is also a lifestyle factor. If I go to UCL, I'd have to live at home and commute around 45 minutes each way. I imagine that could make the social side of university less accessible. Warwick is a campus university, and I'd probably live in student accommodation, so I feel like societies and meeting other students would be easier. It would also be considerably cheaper. That said, I don't really know what postgraduate/student life at UCL is actually like.
In terms of reputation and recruitment, I've always thought UCL and Warwick were fairly comparable at undergraduate level, and I've seen plenty of Warwick students get into high finance. I'm less sure how much this translates into postgrads. Warwick's Maths and Statistics departments are also obviously very strong, so I'm wondering whether the UCL brand provides a meaningful advantage here.
Now coming onto the specific modules. One of the modules I'm thinking of taking at Warwick is Simulation and Machine Learning for Finance, OR Asset Pricing and Risk. These are from WBS not the stats department so I can only take one of them. Is not doing both a disadvantage? I'm willing to self learn. If I do go with Warwick, which of those is okay to skip out on?
If you have any insights, I'd really appreciate your input. If there is something I haven't considered, please say, and correct me if I'm wrong about anything. Any further questions, I'd be happy to answer them.
Thanks.