You are quite right that maintaining a similar lifestyle level as a renter is much more expensive if doing it by renting than on a mortgage. Yes renters are being seriously impacted.
The reason behind it is that mortgage payers have managed to convince the banks that when the chips are down and costs rocket and house prices drop, the bank is unlikely to have to deal with a default, the mortgagee will find a way to keep paying, may lose their equity if the house price drops by more than their original deposit, but will make it through.
People who are renting because they can't yet get a mortgage are in that position because the banks have not yet been convinced that when the worst of the financial storms come along, that household will stay afloat. It's shitty because it means that the most vulnerable people are the least protected but banks are not charities, they are trying to make a profit and they are allowed to do so by only doing business with more affluent people.
If we as a society want less affluent people to have access to the same security as more affluent people there needs to be a much stronger safety net, guaranteeing that if unemployment or ill health or financial disaster strikes, then the state will cover the mortgage interest - with a ceiling based on the reasonable cost of a basic size of home for that household size.
The mortgage-paying household is committed to the long-haul and has to make savings elsewhere when the going gets tough. The key phrase in the OP was "we looked to see if there was anything we could possibly find for cheaper and everything comparable..." - renters have the choice to downgrade to something not remotely comparable if rent becomes unaffordable. It's not a nice prospect obviously, but downgrading from a basically ok 3 bed semi in an ok area to a 2 bed terrace or flat in a shitty area is a relatively simple option to access if you have no other choices
If a mortgage payer loses their employment they aren't entitled to help with housing costs and may have to sell up, potentially losing tens of thousands in destroyed equity if they have to accept a low offer in order to get a quick sale. They will probably end up in the same shitty 2 bed rental but they will have fallen further to land there.
Of course more affluent people are in a better position than poorer people but we don't live in a socialist utopia. "Poor people struggle to make ends meet" is not news. "comparatively wealthy people realising how deep in the shit they are" is news.
When the election comes we all need to hold our politicians to account to make sure that whatever policies are introduced to sort out this quagmire, the effort is spread evenly across all sectors so that everyone gets lifted up a little bit rather than the "squeaky oil" more affluent middle-income people getting more help than the poorest.