Increasing the money supply causes inflation. Rich people don't just put their money under their mattress. They invest it which means it's being given to other people who use it to buy things.
I understand why that might cause inflation. The projected cost is £55b, is this really enough to put the country in an inflationary meltdown?
IMHO the problem is that none of these measures actually guarantee (or even promote) economic growth and the realisation that the UK has economic illiterate leaders it's what's freaking the markets.
Real estate investing means either paying people to build things for you, or paying people for something that's already built. Obviously building things causes inflation as you compete for commodities required to build, but buying already built real estate also means the seller now has money that they invest and that will eventually get consumed too.