I don't think you should buy a house unless you really need one. The transaction and maintenance costs are usually downplayed, and you don't know how it will do as an investment. If you don't need a house save and invest.
You can't really take the investment aspect or any of these others out of the analysis if you want to understand what's best for you. Particularly in countries with policies to encourage/subsidize home ownership the answer is often, "buy a place", but not always.
No tax benefits go to renters. That's one of many considerations here other than raw liabilities.
Agree a investment property is a whole other can of worms, but not really relevant on the "should I buy or rent, personally" decision. For that one, you need to compare to other investments, which is in many ways more straightforward.
I can tell you from personal experience that you are wrong.
Example scenario: New >$3000/mo mortgage, $2000/mo to interest and property taxes = $24k. Have a 5% state income tax?, on $60k, that's another $3k deduction.
This is only true if you assume the same housing at the same cost/mo (including everything). And assume timelines. Usually this isn't the case, so there are definitely scenarios where you are better off renting.
In any situation where the rental scenario results in extra cash flow that you then invest, you can end up ahead in total, sometimes significantly so. It's all complicated by the fact that you are rarely comparing rent vs. buy on the actual same property.
Remember also in the "buy" scenario you have to include closing costs etc. which can affect your timeline. Your 1yr is unrealistic, you'll eat 5-10% of sale price on just that, typically, which may be way more than rent.