Absolutely correct.
It's the basic law of supply and demand. If there is more supply than demand, the owner will have to eat those costs to keep the property rented.
If the OP can afford the increase (and is willing to pay/accept it), is in a tight rental market, loves the house/location and wants to stay, doesn't want to deal with moving, etc. then of course they have little option other than to pay the increased rent if the owner implements it. However, again I would be willing to bet that the owner, if approached correctly, would agree to not increase the rent for another lease term.
I've talked to many people over the years who've gotten into the real estate investment/residential rental business who "thought" you buy a house, rent it out, the tenant covers the expenses and they make a profit, done deal.
It doesn't work like that. Our first 2 properties we had negative cash flow (not alot but there was no profit) for the first several years. We learned alot from that, more than I could ever explain in just a few paragraphs.
It's not cut and dried like alot of people think.
I wish the OP good luck with whatever decision they make!