A transformer can help and could also make things worse. I have some bad experience with this.
The way that a radio is damaged by static is simple:
Something charges up to a high voltage, and then there's a sudden breakdown resulting in a high voltage on the first transistor of the receiver.
This can happen in a few ways:
A long-wire or monopole type antenna is not grounded, and the radio has a decoupling capacitor before the front-end amplifier. When the antenna charges up to a few hundred volts, the capacitor breaks down and the charge surges into the transistor.
A dipole type antenna is connected with a transformer, where the antenna side of the transformer, and the antenna itself, are not grounded.
Someone already charged, walks up to the antenna and touches it.
simulate this circuit – Schematic created using CircuitLab
In both cases, even if the receiver has an inductor or resistor for DC grounding, it will be damaged because the impulse caused by the breakdown or spark is so fast.
It isolates the feed line from the antenna...
You can see that there are cases that adding a transformer could actually make things worse, by isolating a the antenna and allowing it to charge up. Eventually it will jump across the transformer insulation...
... and works as a short circuit for DC.
If there is something isolated that can be charged up, then the DC short on the radio side will mean nothing. The breakdown is an impulse and its initial peak will go right past the DC short.
The solution in cases 1 and 2 is to prevent anything in or near the antenna from becoming charged up. This could be done with a resistor or inductor to ground, or by shorting the centre tap of the transformer. Transmission-line transformers are generally DC short throughout, so that solves it completely.
In case 3, someone touching the antenna, the grounding is of limited use. You can add fast limiter diodes to the input - these are widely available, have low capacitance (0.2 pF maybe) and can handle the full current of a human body discharge. They clamp at just a few volts though, so aren't appropriate for transmitting antennas. A bandpass or highpass filter will also help to reduce the energy that reaches the receiver.
None of this is advice about lightning protection, though some of it may help a bit in the case of distant lightning.