Just to be clear, there are 2 posters apart from the OP who are talking about short trips.
Firstly fisher83 who does 3k / 3 month ocis and does "mostly short trips"
Secondly LckydevL who is doing 90% short trips and wondering whether synthetic would go 5k. No time period was mentioned.
I had a car that was doing mostly short trips that would take 2 years to get to 6k. The advice I have mostly seen for maximum oci is 1 year regardless of mileage. So that is one limit that seems to be generally accepted.
Secondly, many cars, especially older ones, come with 6 month / 5k recommended ocis for normal service regardless of whether they use dino or synthetic. Severe service usually cuts that down to 3-4 months and 3k. Short trips are the toughest on oil. By most manufacturer's suggestions, it seems to be at least twice as tough. So if you are saying synthetic is good for 6k / 6 months in short trips, you are saying that it is good for 12k / 12 months in normal service. That is clearly not recommended for many cars out there.
There are undoubtedly exceptions, both longer and shorter, but as a generalisation, I think it is a good yardstick.