I'd even go as far as saying that you may actually want to have both types for two very different, very specific applications. Cold storage = no S.E., daily driver = with S.E.? Just a thought.
With or without secure elements, it's definitely much safer to have hardware wallet with secure element, than using just regular smartphone for holding smaller amounts of coins you can spend.
After reading all the news that happened in last few days with hardware wallets, I am thinking that regulators will soon try to do something similar like in Switzerland.
That is why I think that having multiple solution is the best thing you can do, own multiple hardware wallets, own DIY signers like Seesigner or Krux, and own a laptop with sole purpose of being a secure cold storage.
Doing this you will most likely be able to survive with bitcoin post 2022

Wasn't the issue even fixed already, but possible due to outdated firmware? Like at the time of attack, he mentions about firmware v1.6.0 and that the attack wasn't gonna be possible in v1.6.1 etc., so he was exploiting the fact that the device was running old software in a way.
He was sort of doing this, but video was recorded somewhere in 2017 I think, and owner couldn't update the device even if he wanted to do it, because he didn't know the password.
Posting this video on Youtube now in 2022 is just a free marketing campaign for Kingpin more than anything else, but it sure hurt Trezor so they even had to comment on that video with explantion.

Makes me think: in a pinch, you could even just wipe a HW wallet that you have around (of which you have a seed backup handy) and load the stolen wallet's seed onto it. When you're done transferring the funds, reset it again and put in 'its' seed again.
Or just use Seedsigner/Krux that works exactly like that, but it's muchmore easier to import seed words again than it is on trezor,ledger and other hardware wallets.
You don't even need secure element or secret NDA's and permission with this.