Due to financial reasons my first guitar was really, really cheap and nasty! The action was high and octaves were further out than Pluto! But it did strengthen my fingers. After saving for a few months I had enough to buy a better one which made playing a lot easier and tuneful. As time passed and I got more proficient and had a better cash flow, I got to the stage where I could choose a guitar that suited me as a player instead of my pocket.
So, I would suggest (unless you've already gone through that stage) get a cheapie, strengthen your digits and find out if the guitar is right for you before paying out great sums of money that might be better spent elsewhere