Well in the end I made a test with all the tag types I could get my hands on. I can't seem to get better results with any specific tag, they all seem to perform the same. That includes:
- MIFARE Ultralight
- MIFARE Ultralight C
- NTAG203
- MIFARE DESFire 4k
- Broadcom Topaz 512
And this one does not work at all:
- MIFARE Classic 1k