It doesn't really matter if they are stranded, cold stored BTC should avoid being moved anyway. Eventually the tx will get mined for cheap, if you're not in a rush (which you shouldn't be if you plan accordingly)
That's why it's important to think about what is your spending/receiving habits and use LN for that, and for stacking you can use on chain.
Setting up an emergency stack i can get behind, one that is cold stored but can be liquidated (moved to channels/sidechains) quickly. But doing that with your whole stack will probably give you a headache
Just my opinions here, people might disagree