Qualcomm has mostly relied on its integrated modem to remain king. It is good in other things as well cpu/gpu/adsp/pmic etc. in general overall solution rather than the chip.

AMD did not designed adreno for Qualcomm. AMD acquired ATI and as part of acquisition it also got mobile gpu(adreno) which was designed for handhelds. It later decided it does not have much use of it and Qualcomm acquired the ip along with people at peanuts.