No. A single-member LLC is always completely disregarded for federal tax purposes. So you won’t pay any more or less federal tax by putting a rental property in an LLC. It has no effect on whether you can use any tax strategies, including the STR loophole, or the types of deductions you can take.
Your LLC income and expenses “pass-through” to your personal taxes, so the resulting tax is the same whether you have an LLC or not. But depending on your state, there may be fees associated with the LLC, which can be substantial in some states (I’m looking at you, California!).