If something happens with their servers and they shut down, you should import seed words in other wallets that use same BIP format.
However, some problems may occur with different addresses and derivation paths.
Luckily, they have posted the derivation paths for Bitcoin and plenty of altcoins on their GitHub page. Let's just hope it's all correct and there haven't been any changes they failed to make in the below source.
https://github.com/trustwallet/wallet-core/blob/master/registry.json#L9They do have a github account and there are some unrelated code there and a regular user is not capable of figure out that it is actually closed source so they "trust" the wallet easier.
Trust Wallet used to be open-source in the past. But that changed a few years ago.
o_e_l_e_o talked about it here:
I think this Evidence is enough to be wary of Trust Wallet. It's not good for me to keep too many Bitcoins in Trust Wallet, even if the number is in decimal, Bitcoin is a very valuable asset that should be in a secure wallet.
I think the reason for the popularity of this wallet is that it is invited by Binance, which gives it some credibility compared to an anonymous closed soruce wallet.
It seems that this is indeed Binance's strategy to monopolize the Crypto market, judging by their recent movements, the media always thinks Binance is the saviour of Crypto and not the least they always plan to acquire crypto projects.
I think that if Binance does, it will be the sunrise of the crypto world and will destroy any hope of decentralization that we have dreamed of for so long.