Take a panel and do a wipedown with alcohol (IPA) and a microfiber a few times, before applying ez-creme. The goal is to remove all polishing oils. It is possible that you have not removed all of the swirls, and when you go over it with ez-creme your pad is removing the residual polishing oils and exposing the swirls. EZ-creme does not have much correction or filling so moderate to heavy swirling will show through it.
If you clean the surface thoroughly before applying EZ-creme and it is swirl free, then something is probably wrong in the process. I use a blue (glaze) or black (wax) detailersdomain pad at speed 2 or 3 on a flex. I'm not sure how that compares to what you use, but basically go with the softest pad you have, low speed, and no pressure. Apply thin and quickly. The goal is not to work ez-creme like a polish, just to cover the surface like a wax. Overworking it might cause it to break down and then your pad could be causing marring. Just guessing - I have never experienced that.
On the clean panel, also try applying to half by hand with a standard wax applicator. Apply just like a wax, and see what you get. If everything looks OK your machine pad / speed combination is too agressive.
As to hologramming, that is typically caused by a solvent in one layer of products interfering with another layer. This is another reason to do a complete IPA wipedown of the car after polishing - to remove any residual oils. I have topped EZ-creme with a number of different waxes without hologramming, but I always to an IPA wipedown to ensure a bare surface after polishing.
Apply thin and to a cool surface to avoid overusing product, which can also cause hologramming issues.
Good luck!