Its not gonna be a conspiracy where healthcare workers are conspiring to gerrymander the cause of deaths to Covid18. That is not reality. Healthcare workers are just normal people with hard jobs.
Nobody can refute your friend of a friend's account without more info, but there's a few things possible...
1. COVID is a severe respiratory infection, which hospitalizes many and is particularly lethal for people with preexisting conditions. High blood pressure, diabetes, asthma etc. If you have high blood pressure, get a severe case of COVID, are hospitalised, on a ventilator and ultimately your heart gives out first, is that complete fabrication and bullshit if that death is recorded as a COVID death? I'd suggest not. Because ultimately what the health services are trying to get a handle on and build an accurate data set is how many people are dying because of COVID, that wouldn't otherwise have died. Recording that data accurately will give accurate data to then be able to gauge the potential impact if the virus ripped through the community en masse.
2. Possibly there is a two tier system for moving bodies out through the hospital system due to the temporary arrangements in place to manage the Covid situation. It may actually be that a COVID body gets out faster. If someone said the only way to get the body out quicker is if they died of COVID that could be a true statement said with grim humour, or an outrageously dumb serious suggestion. Or its evidence of a global conspiracy which a fuck ton of good honest healthcare workers would need to be in on.
Your Sweden issue. It's about an eighth the size of the UK. It's biggest city a tenth the size of London. It's one of the least densely populated countries in Europe (see first image). Those things determine the rate of spread along with the usual factors like level of lockdown etc.
Bottom line the best basis for comparison to Sweden is with other Scandinavian countries which have adopted lockdown arrangements more aligned with the rest of Europe. See image 2 for that.