It is about implementation, not about WASM
Also, this was an implementation bug, not a WASM bug. WASM specifies an execution environment; what developers do in it is entirely up to them (and the vendors of the libraries they use).
Trust Wallet seems to have botched the latter [1] (in fact, it looks to me like they aren't even understanding the implications of that decision based on the PR description [2]). How is that WASMs fault?
[1] https://github.com/trustwallet/wallet-core/pull/2240
[2] They say that their choice of using the Mersenne Twister is "inspired by emscripten", which does no such thing.
It's perfectly possible to implement a secure PRNG in WASM and supply entropy/a seed as a parameter to that, and this is exactly what emscripten does. Trust just happened to provide a non-secure PRNG in their implementation (and ironically quotes emscripten's PR while doing the opposite).
They reimplemented low-level crypto primitives in an insecure way, and quite possibly without even realizing that they were doing so, and their users are paying the price. No language or framework can protect developers from that.
Trust Wallet needlessly wrapped `std::random_device` (which might or might not be cryptographically secure by itself, depending on how it's implemented in whatever WASM-generating stack they use) in an instance of `std::mt19937` (which is definitely insecure, whether seeded cryptographically or not, due to being seeded with only 32 bits of entropy in their implementation; but even seeded properly, a Mersenne Twister would eventually leak internal state).
Anyhow, they could still have used webcrypto through WASM or even through JavaScript (as they can send the data back). This is really not a problem with WASM but moreso with the stupid implementation of this wallet.
edit: According to this PR they were indeed using std::mt19937 [1]. In fact I would go further ahead and say this is a general issue of C++ itself which just does not provide good PRNGs in the stdlib at all, with multiple way of achieving different (but similarly broken) PRNG results.
The problem is what they did with that random seed once they had retrieved it (i.e. seed a non-cryptographic Mersenne Twister with only 32 bits of it).