Come on we're playing semantics. Yes, obviously a SPV wallet doesn't fully verify like a full node does, but it does simply verify transactions which is the point. It has limited trust to a third party and since the information it receives from a third party is cross verified with others and
The point is that SPV wallets can't and don't "simply verify transactions". There is no verification that can be done without having the transactions that a transaction spends from.
Definition
A method for verifying if particular transactions are included in a block without downloading the entire block. The method is used by some lightweight Bitcoin clients.
I take it you're arguing that SPV wallets don't "verify transactions" but they verify that the transaction is included in a block?