If someone has installed the Blue Wallet app on their Android then imports it from the Trust Wallet app by entering the phrase as I explained above, that means that's not a safe step. Maybe you mean a safer step is to move coins by sending coins from the Trust Wallet address to the Blue Wallet address. Is it really like that?
Ask yourself why are you are even switching wallets in the first place? Obviously, there must be something you don't like about the Trust Wallet that warrants the change you are making. If that wasn't the case, you wouldn't be making the switch, would you? But because you did, you should abandon everything that has to do with your old wallet. The seed is the most important part of your setup. Replicating it in multiple wallets weakens your security, and it doesn't solve the problem that recovery phrase originates from a client you decided to abandon to use something better.
The same people who believe that the CEX you mention is something they should trust, surely believe that they should trust the Trust wallet just because it has "trust" in its name. If some kind of research were done, I have no doubt that a large percentage of those who use this wallet would probably admit that they use it because of the name, which is of course absurd in every way.
I would be interested in taking a look at those results myself, but I don't think the name is the main reason. It's the connection with Binance and CZ that gives many people reassurance that the wallet is good and can be trusted in the same way they trust his exchange.