Renting a car in the USA with a driver’s licence issued by another country than the passport

Is it required, when renting a car in the US, that the country issuing the driver’s license is the same as the passport’s one?

Both are from a EU country, if that matters (passport is French and driver’s license is Polish).

Clarification after a comment: nationality is French, country of residence is France, passport is French and driving license is Polish.

UPDATE: I looked up some rental companies requirements and it would seem that it does matter:

Dollar

(6) a foreign driver’s license* issued by the country of residence of
the renter and additional drivers

(…)

If the foreign issued driver’s license is from a country where
“permanent” or “non-expiring” driver’s license are issued, the renter
and any additional drivers will also be required to show their
passport, visa, or other current U.S. issued documentation at the
beginning of their rental authorizing the renter or driver to be
present in the USA at the time of rental.

AVIS

A license issued by a country that participated in the 1949 Geneva
convention on Road Traffic or the 1943 Convention on the Regulation of
Inter-American Automobile Traffic.

Additionally, if you intend to rent outside of your home country, Avis
may require that you present a valid passport, as secondary form of
identification at the time of your check-out.

HERTZ (I saw the English version once, then it switched to French for good – translation below)

Lors de la prise en charge du véhicule, vous devrez présenter un
permis de conduire en cours de validité délivré dans votre pays de
résidence

When taking over the vehicle, you must present a valid driving license
issued in your country of residence

FINAL UPDATE: I ended up not being asked for anything (including a driver’s license) because I am a Gold member with HERTZ (which I actually forgot, my last reting with HERTZ was years ago).
Even without that I indeed highly doubt that they would have applied the “driver’s license issued in country of residence” rule.