You are missing a very important piece of information. The FAR 61.129 section you quoted is on the test for a commercial pilot certificate, it's the minimum aeronautical experience required to get one.
Look for the FAA's Airman Certification Standards for Commercial Pilot. You will see what is required on the checkride. If you were to do chandelles, eights on pylons, steep spirals, power of 180s, and so on in the airplane you were using for the type rating then you could likely combine the two. So, from a practical perspective, the answer is 'no.'
Experience gained in foreign aircraft with foreign instructors "counts" in the FAA's world. Here's what I see you need:
1. An FAA private pilot certificate (certificate, not license) under FAR 61.75 based on your EASA license.
A current EASA or FAA medical.
A flight review under FAR 61.56 - now you can fly solo/PIC
2. If you are EASA instrument rated, you can use the above to get IFR privileges with the 61.75 certificate, but this is not good enough for an FAA commercial certificate. So:
Take the FAA written test for the instrument rating
Train for and pass the FAA instrument checkride
3. The 61.75 private certificate can be used for advanced certificates
Take the FAA written test for commercial pilot
Train for and pass the FAA commercial pilot checkride
This is now independent of your EASA license and requires an FAA medical
4. Before taking the Multi Engine ATP written you must complete the ATP CTP course.
How much total time do you have? What do you want to do the type rating in?
The ATP CTP course includes 10 hours in 737 or Airbus simulators. If you plan carefully, this can be coordinated with type rating training.
Assuming 1,500 hours, you could take the ATP CTP course, take the written, then do the type rating in the same model as the ATP CTP training.
5. Type rating checkrides are to ATP standards. If you have the written passed and 1,500 hours, you can get the ATP and the type rating in the same checkride.
Assuming you have at least 10 hours of complex training, everything can be done in a Cessna 172 or similar. (Except the type rating and ATP). You can get a SE commercial or ME commercial certificate. Are you multi-engine rated in EASA land?
If you work with an instructor with a plan from the beginning, you can do all of this in relatively little time. There is room to combine things in the Flight Review, the IFR training, and commercial training.
The FAA commercial requires 250 hours total time, 50 hours cross country (greater than 50NM apart) - including a flight to an airport at least 250nm away,
Hmm. A thought as a proofread the above.
If you do ME commercial as the initial FAA commercial certificate, the maneuvers I mentioned above are not required. ME commercial has its own requirements. Are you a current ME pilot? If you are instrument and ME proficient you could probably do both checkrides in the same day.
Take a look at 61.159 to see what the ATP requirements are. They have to be met too.
Good luck! PM me your experience and I can give you some thoughts. Look at 61.159 first.