Renting an apartment vs owning a house is not necessarily a bad financial move. Depends on a number of factors. For instance, if you anticipate moving within a certain time frame, between closing costs, mortgage fees, commission, etc...it can cost more to own in the first 3-5 years, especially if prices are stagnant. Also, there are hidden costs of home ownership not necessarily factored in for, like repairs, mainten…
What savings?
Rent as you stated already includes anticipated maintenance costs, property taxes, the landlord's mortgage costs, often an agency fee, plus a margin for the landlord.
I don't think I've seen rental rates ever cheaper than a personal mortgage. The main advantage of renting is avoiding long-term commitment but you'll pay a premium for that flexibility. Otherwise there wouldn't be an incentive for landlords.