We can argue for or against Intel acquiring an ARM license in an alternate reality, but truth is they don't care. Apple wanted to turn them into something that would never work, and even if they got what they wanted, Apple's current supply-chain squeeze would have obviated any chance of Intel sticking around.
They had an ARM license and they had their own high-end cores that pretty much all PDAs used. In the early 2000s if you wanted a high-end ARM chip Intel was the default choice.
> We can argue for or against Intel acquiring an ARM license in an alternate reality, but truth is they don't care
Well as I said they already had one in our reality and could have easily ended up in the position Qualcomm is now if they played their cards right (well realistically in a better position because Qualcomm historically struggled keeping up with their own core designs and ended up switching to Cortex while Intel had a significant head start).
Intel later attempted to bring x86 SoCs to (Android) smartphones (for example the ASUS ZenFone 2 was x86-based), but at that time Arm processors were already quite established in the Android ecosystem, so this attempt was a commercial failure.
See for example https://www.xda-developers.com/what-happened-x86-phones/ for details.